10109177106 has 128 divisors (see below), whose sum is σ = 24588748800. Its totient is φ = 2709504000.

The previous prime is 10109177087. The next prime is 10109177119. The reversal of 10109177106 is 60177190101.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13145490 + ... + 13146258.

It is an arithmetic number, because the mean of its divisors is an integer number (192099600).

Almost surely, 2^10109177106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10109177106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294374400).

10109177106 is an abundant number, since it is smaller than the sum of its proper divisors (14479571694).

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

10109177106 is a wasteful number, since it uses less digits than its factorization.

10109177106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104.

The product of its (nonzero) digits is 2646, while the sum is 33.

The spelling of 10109177106 in words is "ten billion, one hundred nine million, one hundred seventy-seven thousand, one hundred six".