100564400 has 60 divisors (see below), whose sum is σ = 245078064. Its totient is φ = 39648000.

The previous prime is 100564391. The next prime is 100564411. The reversal of 100564400 is 4465001.

It is a happy number.

It is a super-2 number, since 2×100564400² = 20226397094720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26630 + ... + 30170.

Almost surely, 2^100564400 is an apocalyptic number.

100564400 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 100564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122539032).

100564400 is an abundant number, since it is smaller than the sum of its proper divisors (144513664).

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

100564400 is a wasteful number, since it uses less digits than its factorization.

100564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 100564400 is about 10028.1802935528. The cubic root of 100564400 is about 465.0304832215.

It can be divided in two parts, 100 and 564400, that multiplied together give a triangular number (56440000 = T₁₀₆₂₄).

The spelling of 100564400 in words is "one hundred million, five hundred sixty-four thousand, four hundred".