100608735960 has 288 divisors, whose sum is σ = 340650545040. Its totient is φ = 26741166336.

The previous prime is 100608735959. The next prime is 100608735977. The reversal of 100608735960 is 69537806001.

It is a happy number.

100608735960 is a `hidden beast` number, since 1 + 0 + 0 + 608 + 7 + 35 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137255754 + ... + 137256486.

Almost surely, 2^100608735960 is an apocalyptic number.

100608735960 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 100608735960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170325272520).

100608735960 is an abundant number, since it is smaller than the sum of its proper divisors (240041809080).

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

100608735960 is an frugal number, since it uses more digits than its factorization.

100608735960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 100608735960 in words is "one hundred billion, six hundred eight million, seven hundred thirty-five thousand, nine hundred sixty".