100456070400 has 2160 divisors, whose sum is σ = 471063183360. Its totient is φ = 20603289600.

The previous prime is 100456070329. The next prime is 100456070411. The reversal of 100456070400 is 4070654001.

100456070400 is a `hidden beast` number, since 10 + 0 + 4 + 5 + 607 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2137363177 + ... + 2137363223.

Almost surely, 2^100456070400 is an apocalyptic number.

100456070400 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 100456070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235531591680).

100456070400 is an abundant number, since it is smaller than the sum of its proper divisors (370607112960).

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

100456070400 is a wasteful number, since it uses less digits than its factorization.

100456070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 100456070400 in words is "one hundred billion, four hundred fifty-six million, seventy thousand, four hundred".