100995640 has 64 divisors (see below), whose sum is σ = 253303200. Its totient is φ = 36016128.

The previous prime is 100995619. The next prime is 100995649. The reversal of 100995640 is 46599001.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 100995596 and 100995605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100995649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9012 + ... + 16828.

Almost surely, 2^100995640 is an apocalyptic number.

100995640 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 100995640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126651600).

100995640 is an abundant number, since it is smaller than the sum of its proper divisors (152307560).

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

100995640 is a wasteful number, since it uses less digits than its factorization.

100995640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7864 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 100995640 is about 10049.6587006724. The cubic root of 100995640 is about 465.6942495086.

The spelling of 100995640 in words is "one hundred million, nine hundred ninety-five thousand, six hundred forty".