105179717720 has 256 divisors, whose sum is σ = 309746073600. Its totient is φ = 31186368000.

The previous prime is 105179717719. The next prime is 105179717743. The reversal of 105179717720 is 27717971501.

It is a super-2 number, since 2×105179717720² (a number of 23 digits) contains 22 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, 5623985 + ... + 5642655.

It is an arithmetic number, because the mean of its divisors is an integer number (1209945600).

Almost surely, 2^105179717720 is an apocalyptic number.

105179717720 is a gapful number since it is divisible by the number (10) 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 105179717720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154873036800).

105179717720 is an abundant number, since it is smaller than the sum of its proper divisors (204566355880).

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

105179717720 is a wasteful number, since it uses less digits than its factorization.

105179717720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18790 (or 18786 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 47.

The spelling of 105179717720 in words is "one hundred five billion, one hundred seventy-nine million, seven hundred seventeen thousand, seven hundred twenty".