100182105 has 24 divisors (see below), whose sum is σ = 183865032. Its totient is φ = 50287104.

The previous prime is 100182097. The next prime is 100182113. The reversal of 100182105 is 501281001.

It is an interprime number because it is at equal distance from previous prime (100182097) and next prime (100182113).

It can be written as a sum of positive squares in 4 ways, for example, as 5645376 + 94536729 = 2376^2 + 9723^2 .

It is not a de Polignac number, because 100182105 - 2³ = 100182097 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64714 + ... + 66243.

It is an arithmetic number, because the mean of its divisors is an integer number (7661043).

Almost surely, 2^100182105 is an apocalyptic number.

100182105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100182105 is a deficient number, since it is larger than the sum of its proper divisors (83682927).

100182105 is a wasteful number, since it uses less digits than its factorization.

100182105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130985 (or 130982 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 100182105 is about 10009.1011084912. The cubic root of 100182105 is about 464.4404646840.

The spelling of 100182105 in words is "one hundred million, one hundred eighty-two thousand, one hundred five".