101106446166 has 48 divisors (see below), whose sum is σ = 249369269760. Its totient is φ = 29306214960.

The previous prime is 101106446141. The next prime is 101106446167. The reversal of 101106446166 is 661644601101.

101106446166 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 644 + 6 + 1 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101106446166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101106446167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11096286 + ... + 11105393.

It is an arithmetic number, because the mean of its divisors is an integer number (5195193120).

Almost surely, 2^101106446166 is an apocalyptic number.

101106446166 is an abundant number, since it is smaller than the sum of its proper divisors (148262823594).

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

101106446166 is a wasteful number, since it uses less digits than its factorization.

101106446166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22201721 (or 22201718 counting only the distinct ones).

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

The spelling of 101106446166 in words is "one hundred one billion, one hundred six million, four hundred forty-six thousand, one hundred sixty-six".