100964864 has 160 divisors (see below), whose sum is σ = 272232576. Its totient is φ = 36126720.

The previous prime is 100964849. The next prime is 100964867. The reversal of 100964864 is 468469001.

It is not an unprimeable number, because it can be changed into a prime (100964867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512414 + ... + 512610.

Almost surely, 2^100964864 is an apocalyptic number.

100964864 is a gapful number since it is divisible by the number (14) 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 100964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

100964864 is an abundant number, since it is smaller than the sum of its proper divisors (171267712).

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

100964864 is a wasteful number, since it uses less digits than its factorization.

100964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 100964864 is about 10048.1273877275. The cubic root of 100964864 is about 465.6469416503.

The spelling of 100964864 in words is "one hundred million, nine hundred sixty-four thousand, eight hundred sixty-four".