100513157 has 2 divisors, whose sum is σ = 100513158. Its totient is φ = 100513156.

The previous prime is 100513139. The next prime is 100513169. The reversal of 100513157 is 751315001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97436641 + 3076516 = 9871^2 + 1754^2 .

It is a cyclic number.

It is not a de Polignac number, because 100513157 - 2⁸ = 100512901 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100513187) 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, 50256578 + 50256579.

It is an arithmetic number, because the mean of its divisors is an integer number (50256579).

Almost surely, 2^100513157 is an apocalyptic number.

It is an amenable number.

100513157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100513157 is an equidigital number, since it uses as much as digits as its factorization.

100513157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 525, while the sum is 23.

The square root of 100513157 is about 10025.6250179228. The cubic root of 100513157 is about 464.9514837423.

Adding to 100513157 its reverse (751315001), we get a palindrome (851828158).

The spelling of 100513157 in words is "one hundred million, five hundred thirteen thousand, one hundred fifty-seven".