106685049600 has 162 divisors, whose sum is σ = 381423336476. Its totient is φ = 28449331200.

The previous prime is 106685049547. The next prime is 106685049617. The reversal of 106685049600 is 6940586601.

106685049600 is a `hidden beast` number, since 106 + 6 + 8 + 50 + 496 + 0 + 0 = 666.

It is a super-2 number, since 2×106685049600² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 868486 + ... + 983685.

Almost surely, 2^106685049600 is an apocalyptic number.

106685049600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106685049600 is an abundant number, since it is smaller than the sum of its proper divisors (274738286876).

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

106685049600 is a wasteful number, since it uses less digits than its factorization.

106685049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852203 (or 1852181 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 106685049600 in words is "one hundred six billion, six hundred eighty-five million, forty-nine thousand, six hundred".