100609528320 has 960 divisors, whose sum is σ = 421312320000. Its totient is φ = 22152904704.

The previous prime is 100609528309. The next prime is 100609528379. The reversal of 100609528320 is 23825906001.

100609528320 is a `hidden beast` number, since 1 + 0 + 0 + 609 + 5 + 28 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229178661 + ... + 229179099.

It is an arithmetic number, because the mean of its divisors is an integer number (438867000).

Almost surely, 2^100609528320 is an apocalyptic number.

100609528320 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 100609528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656160000).

100609528320 is an abundant number, since it is smaller than the sum of its proper divisors (320702791680).

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

100609528320 is an equidigital number, since it uses as much as digits as its factorization.

100609528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 100609528320 in words is "one hundred billion, six hundred nine million, five hundred twenty-eight thousand, three hundred twenty".