100867100 has 36 divisors (see below), whose sum is σ = 220069248. Its totient is φ = 40128000.

The previous prime is 100867061. The next prime is 100867141. The reversal of 100867100 is 1768001.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16460 + ... + 21740.

Almost surely, 2^100867100 is an apocalyptic number.

100867100 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 100867100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110034624).

100867100 is an abundant number, since it is smaller than the sum of its proper divisors (119202148).

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

100867100 is a wasteful number, since it uses less digits than its factorization.

100867100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 100867100 is about 10043.2614224663. The cubic root of 100867100 is about 465.4965982300.

Subtracting from 100867100 its reverse (1768001), we obtain a palindrome (99099099).

The spelling of 100867100 in words is "one hundred million, eight hundred sixty-seven thousand, one hundred".