100374912400 has 405 divisors, whose sum is σ = 293888410083. Its totient is φ = 32847897600.

The previous prime is 100374912397. The next prime is 100374912419. The reversal of 100374912400 is 4219473001.

The square root of 100374912400 is 316820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 549246096 + 99825666304 = 23436^2 + 315952^2 .

It is a super-3 number, since 3×100374912400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1374998764 + ... + 1374998836.

Almost surely, 2^100374912400 is an apocalyptic number.

100374912400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100374912400 is the 316820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100374912400

100374912400 is an abundant number, since it is smaller than the sum of its proper divisors (193513497683).

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

100374912400 is an equidigital number, since it uses as much as digits as its factorization.

100374912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 100374912400 in words is "one hundred billion, three hundred seventy-four million, nine hundred twelve thousand, four hundred".