101566157 has 16 divisors (see below), whose sum is σ = 127180800. Its totient is φ = 78797040.

The previous prime is 101566151. The next prime is 101566163. The reversal of 101566157 is 751665101.

It is an interprime number because it is at equal distance from previous prime (101566151) and next prime (101566163).

It is not a de Polignac number, because 101566157 - 2⁸ = 101565901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101566151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15644 + ... + 21162.

It is an arithmetic number, because the mean of its divisors is an integer number (7948800).

Almost surely, 2^101566157 is an apocalyptic number.

It is an amenable number.

101566157 is a deficient number, since it is larger than the sum of its proper divisors (25614643).

101566157 is a wasteful number, since it uses less digits than its factorization.

101566157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776.

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 101566157 is about 10078.0036217497. The cubic root of 101566157 is about 466.5694944501.

The spelling of 101566157 in words is "one hundred one million, five hundred sixty-six thousand, one hundred fifty-seven".