100810214400 has 1056 divisors, whose sum is σ = 411713077248. Its totient is φ = 21248409600.

The previous prime is 100810214389. The next prime is 100810214473. The reversal of 100810214400 is 4412018001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383308669 + ... + 383308931.

It is an arithmetic number, because the mean of its divisors is an integer number (389879808).

Almost surely, 2^100810214400 is an apocalyptic number.

100810214400 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 100810214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205856538624).

100810214400 is an abundant number, since it is smaller than the sum of its proper divisors (310902862848).

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

100810214400 is a wasteful number, since it uses less digits than its factorization.

100810214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 100810214400 in words is "one hundred billion, eight hundred ten million, two hundred fourteen thousand, four hundred".