101061657 has 6 divisors (see below), whose sum is σ = 145977962. Its totient is φ = 67374432.

The previous prime is 101061641. The next prime is 101061659. The reversal of 101061657 is 756160101.

101061657 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 1 + 657 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50637456 + 50424201 = 7116^2 + 7101^2 .

It is not a de Polignac number, because 101061657 - 2⁴ = 101061641 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101061657.

It is not an unprimeable number, because it can be changed into a prime (101061659) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5614528 + ... + 5614545.

Almost surely, 2^101061657 is an apocalyptic number.

It is an amenable number.

101061657 is a deficient number, since it is larger than the sum of its proper divisors (44916305).

101061657 is a wasteful number, since it uses less digits than its factorization.

101061657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229079 (or 11229076 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 101061657 is about 10052.9427035073. The cubic root of 101061657 is about 465.7956962675.

The spelling of 101061657 in words is "one hundred one million, sixty-one thousand, six hundred fifty-seven".