101606442036 has 48 divisors (see below), whose sum is σ = 258714086400. Its totient is φ = 30780365920.

The previous prime is 101606442031. The next prime is 101606442073. The reversal of 101606442036 is 630244606101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 101606441988 and 101606442006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101606442031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 318805 + ... + 552131.

It is an arithmetic number, because the mean of its divisors is an integer number (5389876800).

Almost surely, 2^101606442036 is an apocalyptic number.

It is an amenable number.

101606442036 is an abundant number, since it is smaller than the sum of its proper divisors (157107644364).

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

101606442036 is a wasteful number, since it uses less digits than its factorization.

101606442036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236644 (or 236642 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 101606442036 in words is "one hundred one billion, six hundred six million, four hundred forty-two thousand, thirty-six".