101916961 has 4 divisors (see below), whose sum is σ = 101953924. Its totient is φ = 101880000.

The previous prime is 101916953. The next prime is 101916967. The reversal of 101916961 is 169619101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169619101 = 61 ⋅2780641.

It can be written as a sum of positive squares in 2 ways, for example, as 25441936 + 76475025 = 5044^2 + 8745^2 .

It is a cyclic number.

It is not a de Polignac number, because 101916961 - 2³ = 101916953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101916967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13980 + ... + 19981.

It is an arithmetic number, because the mean of its divisors is an integer number (25488481).

Almost surely, 2^101916961 is an apocalyptic number.

It is an amenable number.

101916961 is a deficient number, since it is larger than the sum of its proper divisors (36963).

101916961 is an equidigital number, since it uses as much as digits as its factorization.

101916961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36962.

The product of its (nonzero) digits is 2916, while the sum is 34.

The square root of 101916961 is about 10095.3930582222. The cubic root of 101916961 is about 467.1060457635.

The spelling of 101916961 in words is "one hundred one million, nine hundred sixteen thousand, nine hundred sixty-one".