8961380100 has 54 divisors (see below), whose sum is σ = 28088950890. Its totient is φ = 2389701120.

The previous prime is 8961380093. The next prime is 8961380101. The reversal of 8961380100 is 10831698.

It can be written as a sum of positive squares in 3 ways, for example, as 526427136 + 8434952964 = 22944^2 + 91842^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8961380101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4977645 + ... + 4979444.

Almost surely, 2^8961380100 is an apocalyptic number.

It is an amenable number.

8961380100 is an abundant number, since it is smaller than the sum of its proper divisors (19127570790).

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

8961380100 is a wasteful number, since it uses less digits than its factorization.

8961380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9957109 (or 9957099 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8961380100 is about 94664.5662325667. The cubic root of 8961380100 is about 2077.1042745680.

The spelling of 8961380100 in words is "eight billion, nine hundred sixty-one million, three hundred eighty thousand, one hundred".