105004169616 has 80 divisors (see below), whose sum is σ = 274799554560. Its totient is φ = 34545114240.

The previous prime is 105004169597. The next prime is 105004169629. The reversal of 105004169616 is 616961400501.

It is a super-2 number, since 2×105004169616² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17785321 + ... + 17791223.

It is an arithmetic number, because the mean of its divisors is an integer number (3434994432).

Almost surely, 2^105004169616 is an apocalyptic number.

105004169616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105004169616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137399777280).

105004169616 is an abundant number, since it is smaller than the sum of its proper divisors (169795384944).

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

105004169616 is a wasteful number, since it uses less digits than its factorization.

105004169616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10684 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 105004169616 in words is "one hundred five billion, four million, one hundred sixty-nine thousand, six hundred sixteen".