100601516640 has 96 divisors (see below), whose sum is σ = 317388589056. Its totient is φ = 26785267200.

The previous prime is 100601516627. The next prime is 100601516669. The reversal of 100601516640 is 46615106001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100601516598 and 100601516607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145665 + ... + 471615.

It is an arithmetic number, because the mean of its divisors is an integer number (3306131136).

Almost surely, 2^100601516640 is an apocalyptic number.

100601516640 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 100601516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158694294528).

100601516640 is an abundant number, since it is smaller than the sum of its proper divisors (216787072416).

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

100601516640 is a wasteful number, since it uses less digits than its factorization.

100601516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326612 (or 326604 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 100601516640 in words is "one hundred billion, six hundred one million, five hundred sixteen thousand, six hundred forty".