100182220 has 24 divisors (see below), whose sum is σ = 210579264. Its totient is φ = 40035456.

The previous prime is 100182179. The next prime is 100182221. The reversal of 100182220 is 22281001.

It is a junction number, because it is equal to n+sod(n) for n = 100182194 and 100182203.

It is not an unprimeable number, because it can be changed into a prime (100182221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31629 + ... + 34651.

It is an arithmetic number, because the mean of its divisors is an integer number (8774136).

Almost surely, 2^100182220 is an apocalyptic number.

100182220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100182220 is an abundant number, since it is smaller than the sum of its proper divisors (110397044).

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

100182220 is a wasteful number, since it uses less digits than its factorization.

100182220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 100182220 is about 10009.1068532612. The cubic root of 100182220 is about 464.4406423958.

The spelling of 100182220 in words is "one hundred million, one hundred eighty-two thousand, two hundred twenty".