100363830 has 64 divisors (see below), whose sum is σ = 276618240. Its totient is φ = 22829184.

The previous prime is 100363829. The next prime is 100363843. The reversal of 100363830 is 38363001.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100363830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47047 + ... + 49133.

It is an arithmetic number, because the mean of its divisors is an integer number (4322160).

Almost surely, 2^100363830 is an apocalyptic number.

100363830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100363830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138309120).

100363830 is an abundant number, since it is smaller than the sum of its proper divisors (176254410).

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

100363830 is a wasteful number, since it uses less digits than its factorization.

100363830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 100363830 is about 10018.1749834987. The cubic root of 100363830 is about 464.7211184733.

The spelling of 100363830 in words is "one hundred million, three hundred sixty-three thousand, eight hundred thirty".