100077631 has 2 divisors, whose sum is σ = 100077632. Its totient is φ = 100077630.

The previous prime is 100077611. The next prime is 100077661. The reversal of 100077631 is 136770001.

100077631 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a weak prime.

It is an emirp because it is prime and its reverse (136770001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100077631 is a prime.

It is a super-2 number, since 2×100077631² = 20031064453144322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100077596 and 100077605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100077611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50038815 + 50038816.

It is an arithmetic number, because the mean of its divisors is an integer number (50038816).

Almost surely, 2^100077631 is an apocalyptic number.

100077631 is a deficient number, since it is larger than the sum of its proper divisors (1).

100077631 is an equidigital number, since it uses as much as digits as its factorization.

100077631 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 100077631 is about 10003.8807969707. The cubic root of 100077631 is about 464.2789626880.

The spelling of 100077631 in words is "one hundred million, seventy-seven thousand, six hundred thirty-one".