89766152100 has 135 divisors (see below), whose sum is σ = 291073837747. Its totient is φ = 23930449920.

The previous prime is 89766152093. The next prime is 89766152129. The reversal of 89766152100 is 125166798.

The square root of 89766152100 is 299610.

It is a perfect power (a square), and thus also a powerful number.

89766152100 is a `hidden beast` number, since 8 + 9 + 7 + 6 + 615 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5615104356 + 84151047744 = 74934^2 + 290088^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26963236 + ... + 26966564.

Almost surely, 2^89766152100 is an apocalyptic number.

89766152100 is the 299610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89766152100

89766152100 is an abundant number, since it is smaller than the sum of its proper divisors (201307685647).

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

89766152100 is an equidigital number, since it uses as much as digits as its factorization.

89766152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 89766152100 in words is "eighty-nine billion, seven hundred sixty-six million, one hundred fifty-two thousand, one hundred".