101609212644 has 63 divisors (see below), whose sum is σ = 266647395763. Its totient is φ = 33863999832.

The previous prime is 101609212613. The next prime is 101609212651. The reversal of 101609212644 is 446212906101.

The square root of 101609212644 is 318762.

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

101609212644 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 9 + 2 + 1 + 2 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101609212599 and 101609212608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 17210197 + ... + 17216099.

Almost surely, 2^101609212644 is an apocalyptic number.

101609212644 is the 318762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101609212644

101609212644 is an abundant number, since it is smaller than the sum of its proper divisors (165038183119).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101609212644 is an frugal number, since it uses more digits than its factorization.

101609212644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11828 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 101609212644 by its sum of digits (36), we get a square (3657931655184 = 1912572²).

101609212644 divided by its sum of digits (36) gives a square (2822478129 = 53127²).

The spelling of 101609212644 in words is "one hundred one billion, six hundred nine million, two hundred twelve thousand, six hundred forty-four".