100056407952400 has 135 divisors (see below), whose sum is σ = 241273632472509. Its totient is φ = 39875241648000.

The previous prime is 100056407952383. The next prime is 100056407952461. The reversal of 100056407952400 is 4259704650001.

The square root of 100056407952400 is 10002820.

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

It can be written as a sum of positive squares in only one way, i.e., 36020306862864 + 64036101089536 = 6001692^2 + 8002256^2 .

It is a super-2 number, since 2×100056407952400² (a number of 29 digits) contains 22 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 66218667645 + ... + 66218669155.

Almost surely, 2^{100056407952400} is an apocalyptic number.

100056407952400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100056407952400 is the 10002820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100056407952400

100056407952400 is an abundant number, since it is smaller than the sum of its proper divisors (141217224520109).

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

100056407952400 is an frugal number, since it uses more digits than its factorization.

100056407952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 100056407952400 in words is "one hundred trillion, fifty-six billion, four hundred seven million, nine hundred fifty-two thousand, four hundred".