100564992 has 192 divisors, whose sum is σ = 327150720. Its totient is φ = 29491200.

The previous prime is 100564951. The next prime is 100565021. The reversal of 100564992 is 299465001.

100564992 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 649 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×100564992² = 20226635231920128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

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, 3244017 + ... + 3244047.

It is an arithmetic number, because the mean of its divisors is an integer number (1703910).

Almost surely, 2^100564992 is an apocalyptic number.

100564992 is a gapful number since it is divisible by the number (12) 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 100564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163575360).

100564992 is an abundant number, since it is smaller than the sum of its proper divisors (226585728).

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

100564992 is an equidigital number, since it uses as much as digits as its factorization.

100564992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 100564992 is about 10028.2098103301. The cubic root of 100564992 is about 465.0313957296.

The spelling of 100564992 in words is "one hundred million, five hundred sixty-four thousand, nine hundred ninety-two".