100625448960 has 768 divisors, whose sum is σ = 382703428800. Its totient is φ = 25069879296.

The previous prime is 100625448947. The next prime is 100625448961. The reversal of 100625448960 is 69844526001.

100625448960 is a `hidden beast` number, since 1 + 0 + 0 + 62 + 54 + 489 + 60 = 666.

100625448960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (100625448961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340126699 + ... + 2340126741.

Almost surely, 2^100625448960 is an apocalyptic number.

100625448960 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 100625448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191351714400).

100625448960 is an abundant number, since it is smaller than the sum of its proper divisors (282077979840).

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

100625448960 is an frugal number, since it uses more digits than its factorization.

100625448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 100625448960 in words is "one hundred billion, six hundred twenty-five million, four hundred forty-eight thousand, nine hundred sixty".