105522172860 has 192 divisors, whose sum is σ = 336095907840. Its totient is φ = 24551976960.

The previous prime is 105522172859. The next prime is 105522172867. The reversal of 105522172860 is 68271225501.

It is a super-2 number, since 2×105522172860² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105522172867) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 988996 + ... + 1090484.

It is an arithmetic number, because the mean of its divisors is an integer number (1750499520).

Almost surely, 2^105522172860 is an apocalyptic number.

105522172860 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 105522172860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168047953920).

105522172860 is an abundant number, since it is smaller than the sum of its proper divisors (230573734980).

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

105522172860 is a wasteful number, since it uses less digits than its factorization.

105522172860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101588 (or 101586 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 105522172860 in words is "one hundred five billion, five hundred twenty-two million, one hundred seventy-two thousand, eight hundred sixty".