100958640 has 80 divisors (see below), whose sum is σ = 318917088. Its totient is φ = 26411008.

The previous prime is 100958633. The next prime is 100958653. The reversal of 100958640 is 46859001.

It is a tau number, because it is divible by the number of its divisors (80).

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, 8752 + ... + 16688.

Almost surely, 2^100958640 is an apocalyptic number.

100958640 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 100958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159458544).

100958640 is an abundant number, since it is smaller than the sum of its proper divisors (217958448).

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

100958640 is a wasteful number, since it uses less digits than its factorization.

100958640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 100958640 is about 10047.8176735050. The cubic root of 100958640 is about 465.6373731529.

The spelling of 100958640 in words is "one hundred million, nine hundred fifty-eight thousand, six hundred forty".