44166105100 has 108 divisors (see below), whose sum is σ = 104423092536. Its totient is φ = 16206428160.

The previous prime is 44166105041. The next prime is 44166105101. The reversal of 44166105100 is 150166144.

It is a super-4 number, since 4×44166105100⁴ (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (44166105101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2746684 + ... + 2762716.

Almost surely, 2^44166105100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44166105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52211546268).

44166105100 is an abundant number, since it is smaller than the sum of its proper divisors (60256987436).

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

44166105100 is a wasteful number, since it uses less digits than its factorization.

44166105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16236 (or 16216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 44166105100 in words is "forty-four billion, one hundred sixty-six million, one hundred five thousand, one hundred".