101964521 has 8 divisors (see below), whose sum is σ = 108055944. Its totient is φ = 95883520.

The previous prime is 101964491. The next prime is 101964523. The reversal of 101964521 is 125469101.

It can be written as a sum of positive squares in 4 ways, for example, as 11999296 + 89965225 = 3464^2 + 9485^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101964521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101964523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27731 + ... + 31191.

It is an arithmetic number, because the mean of its divisors is an integer number (13506993).

Almost surely, 2^101964521 is an apocalyptic number.

It is an amenable number.

101964521 is a deficient number, since it is larger than the sum of its proper divisors (6091423).

101964521 is a wasteful number, since it uses less digits than its factorization.

101964521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 101964521 is about 10097.7483133617. The cubic root of 101964521 is about 467.1786934974.

The spelling of 101964521 in words is "one hundred one million, nine hundred sixty-four thousand, five hundred twenty-one".