100964880 has 100 divisors (see below), whose sum is σ = 350688492. Its totient is φ = 26922240.

The previous prime is 100964867. The next prime is 100964891. The reversal of 100964880 is 88469001.

It is a happy number.

100964880 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 648 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 67371264 = 5796^2 + 8208^2 .

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 19 ways as a sum of consecutive naturals, for example, 1311 + ... + 14270.

Almost surely, 2^100964880 is an apocalyptic number.

100964880 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 100964880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175344246).

100964880 is an abundant number, since it is smaller than the sum of its proper divisors (249723612).

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

100964880 is a wasteful number, since it uses less digits than its factorization.

100964880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15606 (or 15591 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 100964880 is about 10048.1281838957. The cubic root of 100964880 is about 465.6469662475.

The spelling of 100964880 in words is "one hundred million, nine hundred sixty-four thousand, eight hundred eighty".