100948676664 has 96 divisors (see below), whose sum is σ = 277627392000. Its totient is φ = 30565465920.

The previous prime is 100948676663. The next prime is 100948676767. The reversal of 100948676664 is 466676849001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100948676663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3700627 + ... + 3727805.

It is an arithmetic number, because the mean of its divisors is an integer number (2891952000).

Almost surely, 2^100948676664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100948676664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138813696000).

100948676664 is an abundant number, since it is smaller than the sum of its proper divisors (176678715336).

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

100948676664 is a wasteful number, since it uses less digits than its factorization.

100948676664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28489 (or 28474 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 100948676664 in words is "one hundred billion, nine hundred forty-eight million, six hundred seventy-six thousand, six hundred sixty-four".