100358688960 has 392 divisors, whose sum is σ = 363709250736. Its totient is φ = 26358773760.

The previous prime is 100358688943. The next prime is 100358688977. The reversal of 100358688960 is 69886853001.

It is an interprime number because it is at equal distance from previous prime (100358688943) and next prime (100358688977).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 100358688897 and 100358688906.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15626550 + ... + 15632970.

Almost surely, 2^100358688960 is an apocalyptic number.

100358688960 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 100358688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181854625368).

100358688960 is an abundant number, since it is smaller than the sum of its proper divisors (263350561776).

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

100358688960 is an frugal number, since it uses more digits than its factorization.

100358688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 100358688960 in words is "one hundred billion, three hundred fifty-eight million, six hundred eighty-eight thousand, nine hundred sixty".