101953157 has 2 divisors, whose sum is σ = 101953158. Its totient is φ = 101953156.

The previous prime is 101953153. The next prime is 101953169. The reversal of 101953157 is 751359101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89000356 + 12952801 = 9434^2 + 3599^2 .

It is a cyclic number.

It is not a de Polignac number, because 101953157 - 2² = 101953153 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101953151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50976578 + 50976579.

It is an arithmetic number, because the mean of its divisors is an integer number (50976579).

Almost surely, 2^101953157 is an apocalyptic number.

It is an amenable number.

101953157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101953157 is an equidigital number, since it uses as much as digits as its factorization.

101953157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 32.

The square root of 101953157 is about 10097.1855979773. The cubic root of 101953157 is about 467.1613370814.

The spelling of 101953157 in words is "one hundred one million, nine hundred fifty-three thousand, one hundred fifty-seven".