100977431 has 2 divisors, whose sum is σ = 100977432. Its totient is φ = 100977430.

The previous prime is 100977377. The next prime is 100977439. The reversal of 100977431 is 134779001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100977431 - 2⁶ = 100977367 is a prime.

It is a super-2 number, since 2×100977431² = 20392883142719522, which contains 22 as substring.

It is a Chen prime.

It is equal to p_5814437 and since 100977431 and 5814437 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100977439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50488715 + 50488716.

It is an arithmetic number, because the mean of its divisors is an integer number (50488716).

Almost surely, 2^100977431 is an apocalyptic number.

100977431 is a deficient number, since it is larger than the sum of its proper divisors (1).

100977431 is an equidigital number, since it uses as much as digits as its factorization.

100977431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 100977431 is about 10048.7527086699. The cubic root of 100977431 is about 465.6662603919. Note that the first 3 decimals are identical.

The spelling of 100977431 in words is "one hundred million, nine hundred seventy-seven thousand, four hundred thirty-one".