101626561 has 9 divisors (see below), whose sum is σ = 108138601. Its totient is φ = 95487232.

The previous prime is 101626559. The next prime is 101626579. The reversal of 101626561 is 165626101.

The square root of 101626561 is 10081.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16248961 + 85377600 = 4031^2 + 9240^2 .

It is not a de Polignac number, because 101626561 - 2¹ = 101626559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101626961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 171081 + ... + 171673.

Almost surely, 2^101626561 is an apocalyptic number.

101626561 is the 10081-st square number.

101626561 is the 5041-st centered octagonal number.

It is an amenable number.

101626561 is a deficient number, since it is larger than the sum of its proper divisors (6512040).

101626561 is an frugal number, since it uses more digits than its factorization.

101626561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The cubic root of 101626561 is about 466.6619697373.

The spelling of 101626561 in words is "one hundred one million, six hundred twenty-six thousand, five hundred sixty-one".