100614272 has 64 divisors (see below), whose sum is σ = 230234400. Its totient is φ = 43315200.

The previous prime is 100614229. The next prime is 100614277. The reversal of 100614272 is 272416001.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (100614277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24872 + ... + 28632.

Almost surely, 2^100614272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115117200).

100614272 is an abundant number, since it is smaller than the sum of its proper divisors (129620128).

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

100614272 is a wasteful number, since it uses less digits than its factorization.

100614272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 100614272 is about 10030.6665780495. Note that the first 3 decimals coincide. The cubic root of 100614272 is about 465.1073433148.

The spelling of 100614272 in words is "one hundred million, six hundred fourteen thousand, two hundred seventy-two".