100618272 has 36 divisors (see below), whose sum is σ = 286134030. Its totient is φ = 33539328.

The previous prime is 100618213. The next prime is 100618303. The reversal of 100618272 is 272816001.

It can be written as a sum of positive squares in only one way, i.e., 79495056 + 21123216 = 8916^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 174397 + ... + 174972.

Almost surely, 2^100618272 is an apocalyptic number.

100618272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100618272 is an abundant number, since it is smaller than the sum of its proper divisors (185515758).

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

100618272 is a wasteful number, since it uses less digits than its factorization.

100618272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349385 (or 349374 counting only the distinct ones).

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

The square root of 100618272 is about 10030.8659646114. The cubic root of 100618272 is about 465.1135068033.

The spelling of 100618272 in words is "one hundred million, six hundred eighteen thousand, two hundred seventy-two".