100972719 has 12 divisors (see below), whose sum is σ = 145937376. Its totient is φ = 67274592.

The previous prime is 100972687. The next prime is 100972733. The reversal of 100972719 is 917279001.

It is not a de Polignac number, because 100972719 - 2⁵ = 100972687 is a prime.

It is a super-2 number, since 2×100972719² = 20390979964505922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100972789) 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 11 ways as a sum of consecutive naturals, for example, 24427 + ... + 28259.

It is an arithmetic number, because the mean of its divisors is an integer number (12161448).

Almost surely, 2^100972719 is an apocalyptic number.

100972719 is a deficient number, since it is larger than the sum of its proper divisors (44964657).

100972719 is a wasteful number, since it uses less digits than its factorization.

100972719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 100972719 is about 10048.5182489758. The cubic root of 100972719 is about 465.6590170124.

The spelling of 100972719 in words is "one hundred million, nine hundred seventy-two thousand, seven hundred nineteen".