101661957 has 6 divisors (see below), whose sum is σ = 146845062. Its totient is φ = 67774632.

The previous prime is 101661949. The next prime is 101661961. The reversal of 101661957 is 759166101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72437121 + 29224836 = 8511^2 + 5406^2 .

It is not a de Polignac number, because 101661957 - 2³ = 101661949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101661997) 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 in 5 ways as a sum of consecutive naturals, for example, 5647878 + ... + 5647895.

It is an arithmetic number, because the mean of its divisors is an integer number (24474177).

Almost surely, 2^101661957 is an apocalyptic number.

It is an amenable number.

101661957 is a deficient number, since it is larger than the sum of its proper divisors (45183105).

101661957 is a wasteful number, since it uses less digits than its factorization.

101661957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11295779 (or 11295776 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 101661957 is about 10082.7554269654. The cubic root of 101661957 is about 466.7161420901.

The spelling of 101661957 in words is "one hundred one million, six hundred sixty-one thousand, nine hundred fifty-seven".