105772249215360 has 1024 divisors, whose sum is σ = 461704707072000. Its totient is φ = 22285505396736.

The previous prime is 105772249215349. The next prime is 105772249215377. The reversal of 105772249215360 is 63512942277501.

105772249215360 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 7 + 22 + 49 + 215 + 360 = 666.

It is a super-2 number, since 2×105772249215360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 105772249215297 and 105772249215306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1130566344 + ... + 1130659896.

It is an arithmetic number, because the mean of its divisors is an integer number (450883503000).

Almost surely, 2^{105772249215360} is an apocalyptic number.

105772249215360 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 105772249215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230852353536000).

105772249215360 is an abundant number, since it is smaller than the sum of its proper divisors (355932457856640).

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

105772249215360 is a wasteful number, since it uses less digits than its factorization.

105772249215360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94320 (or 94302 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 105772249215360 in words is "one hundred five trillion, seven hundred seventy-two billion, two hundred forty-nine million, two hundred fifteen thousand, three hundred sixty".