100113577 has 2 divisors, whose sum is σ = 100113578. Its totient is φ = 100113576.

The previous prime is 100113553. The next prime is 100113623. The reversal of 100113577 is 775311001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96353856 + 3759721 = 9816^2 + 1939^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113577 is a prime.

It is not a weakly prime, because it can be changed into another prime (100113877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056788 + 50056789.

It is an arithmetic number, because the mean of its divisors is an integer number (50056789).

Almost surely, 2^100113577 is an apocalyptic number.

It is an amenable number.

100113577 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113577 is an equidigital number, since it uses as much as digits as its factorization.

100113577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 25.

The square root of 100113577 is about 10005.6772384482. The cubic root of 100113577 is about 464.3345427868.

Adding to 100113577 its reverse (775311001), we get a palindrome (875424578).

The spelling of 100113577 in words is "one hundred million, one hundred thirteen thousand, five hundred seventy-seven".