100960896 has 64 divisors (see below), whose sum is σ = 269989920. Its totient is φ = 33426432.

The previous prime is 100960883. The next prime is 100960903. The reversal of 100960896 is 698069001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×100960896² = 20386205042245632, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61786 + ... + 63398.

Almost surely, 2^100960896 is an apocalyptic number.

100960896 is a gapful number since it is divisible by the number (16) 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 100960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134994960).

100960896 is an abundant number, since it is smaller than the sum of its proper divisors (169029024).

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

100960896 is a wasteful number, since it uses less digits than its factorization.

100960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 100960896 is about 10047.9299360615. The cubic root of 100960896 is about 465.6408414712.

The spelling of 100960896 in words is "one hundred million, nine hundred sixty thousand, eight hundred ninety-six".