100628172 has 18 divisors (see below), whose sum is σ = 254365748. Its totient is φ = 33542712.

The previous prime is 100628167. The next prime is 100628179. The reversal of 100628172 is 271826001.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×100628172³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100628179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1397578 + ... + 1397649.

Almost surely, 2^100628172 is an apocalyptic number.

100628172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100628172 is an abundant number, since it is smaller than the sum of its proper divisors (153737576).

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

100628172 is a wasteful number, since it uses less digits than its factorization.

100628172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795237 (or 2795232 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100628172 is about 10031.3594293097. The cubic root of 100628172 is about 465.1287607349.

The spelling of 100628172 in words is "one hundred million, six hundred twenty-eight thousand, one hundred seventy-two".