100010990400 has 168 divisors, whose sum is σ = 328276634784. Its totient is φ = 26656819200.

The previous prime is 100010990393. The next prime is 100010990423. The reversal of 100010990400 is 4099010001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14257294 + ... + 14264306.

It is an arithmetic number, because the mean of its divisors is an integer number (1954027588).

Almost surely, 2^100010990400 is an apocalyptic number.

100010990400 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 100010990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164138317392).

100010990400 is an abundant number, since it is smaller than the sum of its proper divisors (228265644384).

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

100010990400 is a wasteful number, since it uses less digits than its factorization.

100010990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009 (or 9994 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 100010990400 in words is "one hundred billion, ten million, nine hundred ninety thousand, four hundred".