100966157 has 2 divisors, whose sum is σ = 100966158. Its totient is φ = 100966156.

The previous prime is 100966147. The next prime is 100966241. The reversal of 100966157 is 751669001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69538921 + 31427236 = 8339^2 + 5606^2 .

It is a cyclic number.

It is not a de Polignac number, because 100966157 - 2⁴ = 100966141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100966127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50483078 + 50483079.

It is an arithmetic number, because the mean of its divisors is an integer number (50483079).

Almost surely, 2^100966157 is an apocalyptic number.

It is an amenable number.

100966157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100966157 is an equidigital number, since it uses as much as digits as its factorization.

100966157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 100966157 is about 10048.1917278683. The cubic root of 100966157 is about 465.6489294010.

The spelling of 100966157 in words is "one hundred million, nine hundred sixty-six thousand, one hundred fifty-seven".