166107061102000 has 80 divisors (see below), whose sum is σ = 402177454522272. Its totient is φ = 66355052601600.

The previous prime is 166107061101967. The next prime is 166107061102009. The reversal of 166107061102000 is 201160701661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×166107061102000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166107061102009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53343022 + ... + 56371021.

Almost surely, 2^{166107061102000} is an apocalyptic number.

166107061102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166107061102000 is an abundant number, since it is smaller than the sum of its proper divisors (236070393420272).

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

166107061102000 is a wasteful number, since it uses less digits than its factorization.

166107061102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109714823 (or 109714807 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 166107061102000 in words is "one hundred sixty-six trillion, one hundred seven billion, sixty-one million, one hundred two thousand".