100165633560 has 160 divisors (see below), whose sum is σ = 338414329440. Its totient is φ = 26572271616.

The previous prime is 100165633523. The next prime is 100165633609. The reversal of 100165633560 is 65336561001.

100165633560 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 563 + 35 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 545229 + ... + 705411.

It is an arithmetic number, because the mean of its divisors is an integer number (2115089559).

Almost surely, 2^100165633560 is an apocalyptic number.

100165633560 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 100165633560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169207164720).

100165633560 is an abundant number, since it is smaller than the sum of its proper divisors (238248695880).

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

100165633560 is a wasteful number, since it uses less digits than its factorization.

100165633560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160399 (or 160386 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 100165633560 in words is "one hundred billion, one hundred sixty-five million, six hundred thirty-three thousand, five hundred sixty".