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106342155630 = 232510111698807
BaseRepresentation
bin110001100001001111…
…1001000010101101110
3101011111011112020012200
41203002133020111232
53220242042440010
6120504121242330
710453154260104
oct1430237102556
9334434466180
10106342155630
1141110413537
12187399333a6
13a049746059
14520b497c74
152b75e0bcc0
hex18c27c856e

106342155630 has 48 divisors (see below), whose sum is σ = 279227149344. Its totient is φ = 28077134400.

The previous prime is 106342155617. The next prime is 106342155671. The reversal of 106342155630 is 36551243601.

106342155630 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 4 + 2 + 15 + 5 + 630 = 666.

It is a super-3 number, since 3×1063421556303 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5840314 + ... + 5858493.

It is an arithmetic number, because the mean of its divisors is an integer number (5817232278).

Almost surely, 2106342155630 is an apocalyptic number.

106342155630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106342155630 is an abundant number, since it is smaller than the sum of its proper divisors (172884993714).

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

106342155630 is a wasteful number, since it uses less digits than its factorization.

106342155630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11698921 (or 11698918 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 106342155630 in words is "one hundred six billion, three hundred forty-two million, one hundred fifty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 11698807 23397614 35096421 58494035 70192842 105289263 116988070 175482105 210578526 350964210 526446315 1052892630 1181579507 2363159014 3544738521 5907897535 7089477042 10634215563 11815795070 17723692605 21268431126 35447385210 53171077815 106342155630