100980919 has 24 divisors (see below), whose sum is σ = 115108560. Its totient is φ = 88030080.

The previous prime is 100980917. The next prime is 100980923. The reversal of 100980919 is 919089001.

It is not a de Polignac number, because 100980919 - 2¹ = 100980917 is a prime.

It is a super-2 number, since 2×100980919² = 20394292004169122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100980917) 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 23 ways as a sum of consecutive naturals, for example, 737019 + ... + 737155.

It is an arithmetic number, because the mean of its divisors is an integer number (4796190).

Almost surely, 2^100980919 is an apocalyptic number.

100980919 is a deficient number, since it is larger than the sum of its proper divisors (14127641).

100980919 is a wasteful number, since it uses less digits than its factorization.

100980919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 37.

The square root of 100980919 is about 10048.9262610490. The cubic root of 100980919 is about 465.6716220692.

The spelling of 100980919 in words is "one hundred million, nine hundred eighty thousand, nine hundred nineteen".