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106815339420 = 223517197353077
BaseRepresentation
bin110001101111010110…
…0001011101110011100
3101012201010220110100020
41203132230023232130
53222224211330140
6121023103232140
710500661255506
oct1433654135634
9335633813306
10106815339420
1141333524519
12188502a8650
13a0c379c36a
14525426cd76
152ba27296d0
hex18deb0bb9c

106815339420 has 96 divisors (see below), whose sum is σ = 316842539328. Its totient is φ = 26794463232.

The previous prime is 106815339419. The next prime is 106815339467. The reversal of 106815339420 is 24933518601.

It is a super-2 number, since 2×1068153394202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985922 + ... + 2038998.

It is an arithmetic number, because the mean of its divisors is an integer number (3300443118).

Almost surely, 2106815339420 is an apocalyptic number.

106815339420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106815339420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158421269664).

106815339420 is an abundant number, since it is smaller than the sum of its proper divisors (210027199908).

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

106815339420 is a wasteful number, since it uses less digits than its factorization.

106815339420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55079 (or 55077 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 106815339420 in words is "one hundred six billion, eight hundred fifteen million, three hundred thirty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1973 3946 5919 7892 9865 11838 19730 23676 29595 33541 39460 53077 59190 67082 100623 106154 118380 134164 159231 167705 201246 212308 265385 318462 335410 402492 503115 530770 636924 670820 796155 902309 1006230 1061540 1592310 1804618 2012460 2706927 3184620 3609236 4511545 5413854 9023090 10827708 13534635 18046180 27069270 54138540 104720921 209441842 314162763 418883684 523604605 628325526 1047209210 1256651052 1570813815 1780255657 2094418420 3141627630 3560511314 5340766971 6283255260 7121022628 8901278285 10681533942 17802556570 21363067884 26703834855 35605113140 53407669710 106815339420