103546631166 has 128 divisors (see below), whose sum is σ = 242906065920. Its totient is φ = 29114342400.

The previous prime is 103546631141. The next prime is 103546631191. The reversal of 103546631166 is 661136645301.

It is an interprime number because it is at equal distance from previous prime (103546631141) and next prime (103546631191).

It is a super-3 number, since 3×103546631166³ (a number of 34 digits) contains 333 as substring.

It is a congruent 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, 7153176 + ... + 7167636.

It is an arithmetic number, because the mean of its divisors is an integer number (1897703640).

Almost surely, 2^103546631166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103546631166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121453032960).

103546631166 is an abundant number, since it is smaller than the sum of its proper divisors (139359434754).

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

103546631166 is a wasteful number, since it uses less digits than its factorization.

103546631166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14642.

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 103546631166 in words is "one hundred three billion, five hundred forty-six million, six hundred thirty-one thousand, one hundred sixty-six".