100172137 has 8 divisors (see below), whose sum is σ = 108069696. Its totient is φ = 92302032.

The previous prime is 100172131. The next prime is 100172141. The reversal of 100172137 is 731271001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100172137 is a prime.

It is a super-3 number, since 3×100172137³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100172131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1068 + ... + 14194.

It is an arithmetic number, because the mean of its divisors is an integer number (13508712).

Almost surely, 2^100172137 is an apocalyptic number.

It is an amenable number.

100172137 is a deficient number, since it is larger than the sum of its proper divisors (7897559).

100172137 is a wasteful number, since it uses less digits than its factorization.

100172137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13727.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 100172137 is about 10008.6031492911. The cubic root of 100172137 is about 464.4250604156.

The spelling of 100172137 in words is "one hundred million, one hundred seventy-two thousand, one hundred thirty-seven".