101610561 has 16 divisors (see below), whose sum is σ = 146168960. Its totient is φ = 62415360.

The previous prime is 101610559. The next prime is 101610583. The reversal of 101610561 is 165016101.

It is not a de Polignac number, because 101610561 - 2¹ = 101610559 is a prime.

It is a super-2 number, since 2×101610561² = 20649412213469442, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101610521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22545 + ... + 26673.

It is an arithmetic number, because the mean of its divisors is an integer number (9135560).

Almost surely, 2^101610561 is an apocalyptic number.

It is an amenable number.

101610561 is a deficient number, since it is larger than the sum of its proper divisors (44558399).

101610561 is a wasteful number, since it uses less digits than its factorization.

101610561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 101610561 is about 10080.2063966964. The cubic root of 101610561 is about 466.6374781631.

Adding to 101610561 its reverse (165016101), we get a palindrome (266626662).

The spelling of 101610561 in words is "one hundred one million, six hundred ten thousand, five hundred sixty-one".