101659541 has 16 divisors (see below), whose sum is σ = 111086640. Its totient is φ = 92651520.

The previous prime is 101659511. The next prime is 101659601. The reversal of 101659541 is 145956101.

101659541 = 7129² + 7130².

It can be written as a sum of positive squares in 8 ways, for example, as 29052100 + 72607441 = 5390^2 + 8521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101659541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101659498 and 101659507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101659511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108965 + ... + 109893.

It is an arithmetic number, because the mean of its divisors is an integer number (6942915).

Almost surely, 2^101659541 is an apocalyptic number.

101659541 is the 7130-th centered square number.

It is an amenable number.

101659541 is a deficient number, since it is larger than the sum of its proper divisors (9427099).

101659541 is a wasteful number, since it uses less digits than its factorization.

101659541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144.

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 101659541 is about 10082.6356177341. The cubic root of 101659541 is about 466.7124448856.

The spelling of 101659541 in words is "one hundred one million, six hundred fifty-nine thousand, five hundred forty-one".