100956960 has 144 divisors (see below), whose sum is σ = 371085624. Its totient is φ = 24846336.

The previous prime is 100956943. The next prime is 100956971. The reversal of 100956960 is 69659001.

It can be written as a sum of positive squares in 4 ways, for example, as 87385104 + 13571856 = 9348^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16024 + ... + 21416.

Almost surely, 2^100956960 is an apocalyptic number.

100956960 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 100956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185542812).

100956960 is an abundant number, since it is smaller than the sum of its proper divisors (270128664).

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

100956960 is a wasteful number, since it uses less digits than its factorization.

100956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 100956960 is about 10047.7340729142. The cubic root of 100956960 is about 465.6347903291.

The spelling of 100956960 in words is "one hundred million, nine hundred fifty-six thousand, nine hundred sixty".