100972014 has 64 divisors (see below), whose sum is σ = 239258880. Its totient is φ = 28005120.

The previous prime is 100972009. The next prime is 100972021. The reversal of 100972014 is 410279001.

It is a super-2 number, since 2×100972014² = 20390695222432392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117117 + ... + 117975.

It is an arithmetic number, because the mean of its divisors is an integer number (3738420).

Almost surely, 2^100972014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100972014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119629440).

100972014 is an abundant number, since it is smaller than the sum of its proper divisors (138286866).

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

100972014 is a wasteful number, since it uses less digits than its factorization.

100972014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 100972014 is about 10048.4831691156. The cubic root of 100972014 is about 465.6579332531.

The spelling of 100972014 in words is "one hundred million, nine hundred seventy-two thousand, fourteen".