100945971 has 12 divisors (see below), whose sum is σ = 166641072. Its totient is φ = 57683376.

The previous prime is 100945961. The next prime is 100945979. The reversal of 100945971 is 179549001.

It is not a de Polignac number, because 100945971 - 2⁶ = 100945907 is a prime.

It is a super-2 number, since 2×100945971² = 20380178122265682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100945979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 801096 + ... + 801221.

It is an arithmetic number, because the mean of its divisors is an integer number (13886756).

Almost surely, 2^100945971 is an apocalyptic number.

100945971 is a deficient number, since it is larger than the sum of its proper divisors (65695101).

100945971 is a wasteful number, since it uses less digits than its factorization.

100945971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602330 (or 1602327 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 100945971 is about 10047.1872183214. The cubic root of 100945971 is about 465.6178951876.

The spelling of 100945971 in words is "one hundred million, nine hundred forty-five thousand, nine hundred seventy-one".