105056166150 has 72 divisors (see below), whose sum is σ = 303962524320. Its totient is φ = 25859977920.

The previous prime is 105056166139. The next prime is 105056166169. The reversal of 105056166150 is 51661650501.

It is a super-4 number, since 4×105056166150⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8973310 + ... + 8985009.

Almost surely, 2^105056166150 is an apocalyptic number.

105056166150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105056166150 is an abundant number, since it is smaller than the sum of its proper divisors (198906358170).

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

105056166150 is a wasteful number, since it uses less digits than its factorization.

105056166150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17958350 (or 17958342 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105056166150 in words is "one hundred five billion, fifty-six million, one hundred sixty-six thousand, one hundred fifty".