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106393736300 = 22521321805403
BaseRepresentation
bin110001100010110001…
…1111001010001101100
3101011121202120210120212
41203011203321101230
53220343244030200
6120513203001552
710454351560055
oct1430543712154
9334552523525
10106393736300
1141137543895
12187530692b8
13a057335a67
14521428372c
152b7a6ea035
hex18c58f946c

106393736300 has 36 divisors (see below), whose sum is σ = 231049467096. Its totient is φ = 42525225600.

The previous prime is 106393736263. The next prime is 106393736303. The reversal of 106393736300 is 3637393601.

It is a happy number.

It is a super-2 number, since 2×1063937363002 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106393736303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270602 + ... + 534801.

Almost surely, 2106393736300 is an apocalyptic number.

106393736300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106393736300 is an abundant number, since it is smaller than the sum of its proper divisors (124655730796).

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

106393736300 is a wasteful number, since it uses less digits than its factorization.

106393736300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806738 (or 806731 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 41.

The spelling of 106393736300 in words is "one hundred six billion, three hundred ninety-three million, seven hundred thirty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1321 2642 5284 6605 13210 26420 33025 66050 132100 805403 1610806 3221612 4027015 8054030 16108060 20135075 40270150 80540300 1063937363 2127874726 4255749452 5319686815 10639373630 21278747260 26598434075 53196868150 106393736300