106257715200 has 1404 divisors, whose sum is σ = 479420114628. Its totient is φ = 22295347200.

The previous prime is 106257715199. The next prime is 106257715237. The reversal of 106257715200 is 2517752601.

106257715200 is a `hidden beast` number, since 1 + 0 + 62 + 5 + 7 + 71 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41733586944 + 64524128256 = 204288^2 + 254016^2 .

It is a super-2 number, since 2×106257715200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 587059110 + ... + 587059290.

Almost surely, 2^106257715200 is an apocalyptic number.

106257715200 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 106257715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239710057314).

106257715200 is an abundant number, since it is smaller than the sum of its proper divisors (373162399428).

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

106257715200 is a wasteful number, since it uses less digits than its factorization.

106257715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 106257715200 in words is "one hundred six billion, two hundred fifty-seven million, seven hundred fifteen thousand, two hundred".