100865100 has 144 divisors (see below), whose sum is σ = 341589248. Its totient is φ = 22498560.

The previous prime is 100865099. The next prime is 100865101. The reversal of 100865100 is 1568001.

It is an interprime number because it is at equal distance from previous prime (100865099) and next prime (100865101).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100865101) 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, 89742 + ... + 90858.

Almost surely, 2^100865100 is an apocalyptic number.

100865100 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 100865100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170794624).

100865100 is an abundant number, since it is smaller than the sum of its proper divisors (240724148).

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

100865100 is a wasteful number, since it uses less digits than its factorization.

100865100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 100865100 is about 10043.1618527235. The cubic root of 100865100 is about 465.4935215765.

The spelling of 100865100 in words is "one hundred million, eight hundred sixty-five thousand, one hundred".