100024157 has 2 divisors, whose sum is σ = 100024158. Its totient is φ = 100024156.

The previous prime is 100024139. The next prime is 100024159. The reversal of 100024157 is 751420001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99780121 + 244036 = 9989^2 + 494^2 .

It is an emirp because it is prime and its reverse (751420001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100024157 - 2²⁶ = 32915293 is a prime.

Together with 100024159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100024159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50012078 + 50012079.

It is an arithmetic number, because the mean of its divisors is an integer number (50012079).

Almost surely, 2^100024157 is an apocalyptic number.

It is an amenable number.

100024157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100024157 is an equidigital number, since it uses as much as digits as its factorization.

100024157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 100024157 is about 10001.2077770637. The cubic root of 100024157 is about 464.1962559726.

Adding to 100024157 its reverse (751420001), we get a palindrome (851444158).

The spelling of 100024157 in words is "one hundred million, twenty-four thousand, one hundred fifty-seven".