13975172106 has 128 divisors (see below), whose sum is σ = 34476288000. Its totient is φ = 3764517120.

The previous prime is 13975172063. The next prime is 13975172111. The reversal of 13975172106 is 60127157931.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9422841 + ... + 9424323.

It is an arithmetic number, because the mean of its divisors is an integer number (269346000).

Almost surely, 2^13975172106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13975172106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238144000).

13975172106 is an abundant number, since it is smaller than the sum of its proper divisors (20501115894).

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

13975172106 is a wasteful number, since it uses less digits than its factorization.

13975172106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 13975172106 in words is "thirteen billion, nine hundred seventy-five million, one hundred seventy-two thousand, one hundred six".