106044561600 has 84 divisors (see below), whose sum is σ = 347914548264. Its totient is φ = 28278548480.

The previous prime is 106044561559. The next prime is 106044561611. The reversal of 106044561600 is 6165440601.

It is a happy number.

It is a super-2 number, since 2×106044561600² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 11041509 + ... + 11051108.

Almost surely, 2^106044561600 is an apocalyptic number.

106044561600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106044561600 is an abundant number, since it is smaller than the sum of its proper divisors (241869986664).

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

106044561600 is a wasteful number, since it uses less digits than its factorization.

106044561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22092642 (or 22092627 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 106044561600 in words is "one hundred six billion, forty-four million, five hundred sixty-one thousand, six hundred".