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107606960640 = 293254670441
BaseRepresentation
bin110010000110111011…
…1111110101000000000
3101021202022110222111200
41210031313332220000
53230334340220030
6121233422341200
710526413034214
oct1441567765000
9337668428450
10107606960640
11416aa362233
1218a3142a800
13a1bb7aa59a
1452cb456944
152bebe98d60
hex190ddfea00

107606960640 has 120 divisors (see below), whose sum is σ = 372673248948. Its totient is φ = 28695183360.

The previous prime is 107606960627. The next prime is 107606960653. The reversal of 107606960640 is 46069606701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107606960627) and next prime (107606960653).

It can be written as a sum of positive squares in 2 ways, for example, as 107447595264 + 159365376 = 327792^2 + 12624^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2312181 + ... + 2358260.

Almost surely, 2107606960640 is an apocalyptic number.

107606960640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107606960640 is an abundant number, since it is smaller than the sum of its proper divisors (265066288308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107606960640 is an equidigital number, since it uses as much as digits as its factorization.

107606960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670470 (or 4670451 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 107606960640 in words is "one hundred seven billion, six hundred six million, nine hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 4670441 9340882 14011323 18681764 23352205 28022646 37363528 42033969 46704410 56045292 70056615 74727056 84067938 93408820 112090584 140113230 149454112 168135876 186817640 210169845 224181168 280226460 298908224 336271752 373635280 420339690 448362336 560452920 597816448 672543504 747270560 840679380 896724672 1120905840 1195632896 1345087008 1494541120 1681358760 1793449344 2241811680 2391265792 2690174016 2989082240 3362717520 3586898688 4483623360 5380348032 5978164480 6725435040 7173797376 8967246720 10760696064 11956328960 13450870080 17934493440 21521392128 26901740160 35868986880 53803480320 107606960640