101751561 has 12 divisors (see below), whose sum is σ = 148988788. Its totient is φ = 66904704.

The previous prime is 101751547. The next prime is 101751571. The reversal of 101751561 is 165157101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 47817225 = 7344^2 + 6915^2 .

It is not a de Polignac number, because 101751561 - 2⁹ = 101751049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101751571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76780 + ... + 78093.

Almost surely, 2^101751561 is an apocalyptic number.

It is an amenable number.

101751561 is a deficient number, since it is larger than the sum of its proper divisors (47237227).

101751561 is a wasteful number, since it uses less digits than its factorization.

101751561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154952 (or 154949 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The square root of 101751561 is about 10087.1978765166. The cubic root of 101751561 is about 466.8532217278.

It can be divided in two parts, 10 and 1751561, that added together give a palindrome (1751571).

The spelling of 101751561 in words is "one hundred one million, seven hundred fifty-one thousand, five hundred sixty-one".