100172090 has 32 divisors (see below), whose sum is σ = 188298000. Its totient is φ = 38320128.

The previous prime is 100172089. The next prime is 100172113. The reversal of 100172090 is 90271001.

It can be written as a sum of positive squares in 8 ways, for example, as 71453209 + 28718881 = 8453^2 + 5359^2 .

It is a super-2 number, since 2×100172090² = 20068895229936200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30026 + ... + 33194.

Almost surely, 2^100172090 is an apocalyptic number.

100172090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100172090 is a deficient number, since it is larger than the sum of its proper divisors (88125910).

100172090 is a wasteful number, since it uses less digits than its factorization.

100172090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 100172090 is about 10008.6008013108. The cubic root of 100172090 is about 464.4249877807.

The spelling of 100172090 in words is "one hundred million, one hundred seventy-two thousand, ninety".