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107942310 = 23257315527
BaseRepresentation
bin1100110111100…
…01000110100110
321112010001000100
412123301012212
5210113123220
614413324530
72450331420
oct633610646
9245101010
10107942310
1155a26723
1230196746
13194948b8
141049b810
159722d90
hex66f11a6

107942310 has 96 divisors (see below), whose sum is σ = 331149312. Its totient is φ = 23872320.

The previous prime is 107942309. The next prime is 107942311. The reversal of 107942310 is 13249701.

It is an interprime number because it is at equal distance from previous prime (107942309) and next prime (107942311).

It is a super-2 number, since 2×1079423102 = 23303084576272200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107942311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16767 + ... + 22293.

It is an arithmetic number, because the mean of its divisors is an integer number (3449472).

Almost surely, 2107942310 is an apocalyptic number.

107942310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107942310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165574656).

107942310 is an abundant number, since it is smaller than the sum of its proper divisors (223207002).

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

107942310 is a wasteful number, since it uses less digits than its factorization.

107942310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107942310 is about 10389.5288632353. The cubic root of 107942310 is about 476.1355068151.

The spelling of 107942310 in words is "one hundred seven million, nine hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 5527 6510 9765 11054 16581 19530 27635 33162 38689 49743 55270 77378 82905 99486 116067 165810 171337 193445 232134 248715 342674 348201 386890 497430 514011 580335 696402 856685 1028022 1160670 1199359 1542033 1713370 1741005 2398718 2570055 3084066 3482010 3598077 5140110 5996795 7196154 7710165 10794231 11993590 15420330 17990385 21588462 35980770 53971155 107942310