100452131564400 has 2400 divisors, whose sum is σ = 457280148864000. Its totient is φ = 20513710080000.

The previous prime is 100452131564371. The next prime is 100452131564413. The reversal of 100452131564400 is 4465131254001.

100452131564400 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 5 + 2 + 1 + 3 + 1 + 5 + 644 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 36541334226 + ... + 36541336974.

It is an arithmetic number, because the mean of its divisors is an integer number (190533395360).

Almost surely, 2^{100452131564400} is an apocalyptic number.

100452131564400 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 100452131564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228640074432000).

100452131564400 is an abundant number, since it is smaller than the sum of its proper divisors (356828017299600).

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

100452131564400 is a wasteful number, since it uses less digits than its factorization.

100452131564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 100452131564400 in words is "one hundred trillion, four hundred fifty-two billion, one hundred thirty-one million, five hundred sixty-four thousand, four hundred".