101616641 has 6 divisors (see below), whose sum is σ = 118207170. Its totient is φ = 87099936.

The previous prime is 101616631. The next prime is 101616677. The reversal of 101616641 is 146616101.

It can be written as a sum of positive squares in only one way, i.e., 92640625 + 8976016 = 9625^2 + 2996^2 .

It is not a de Polignac number, because 101616641 - 2⁶ = 101616577 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 101616641.

It is not an unprimeable number, because it can be changed into a prime (101616601) 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, 1036856 + ... + 1036953.

It is an arithmetic number, because the mean of its divisors is an integer number (19701195).

Almost surely, 2^101616641 is an apocalyptic number.

It is an amenable number.

101616641 is a deficient number, since it is larger than the sum of its proper divisors (16590529).

101616641 is an equidigital number, since it uses as much as digits as its factorization.

101616641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073823 (or 2073816 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 101616641 is about 10080.5079733117. The cubic root of 101616641 is about 466.6467852641.

The spelling of 101616641 in words is "one hundred one million, six hundred sixteen thousand, six hundred forty-one".