105422452215520 has 288 divisors, whose sum is σ = 290463648602400. Its totient is φ = 35850572759040.

The previous prime is 105422452215497. The next prime is 105422452215529. The reversal of 105422452215520 is 25512254224501.

It is a super-2 number, since 2×105422452215520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105422452215529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79196406 + ... + 80516554.

It is an arithmetic number, because the mean of its divisors is an integer number (1008554335425).

Almost surely, 2^{105422452215520} is an apocalyptic number.

105422452215520 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 105422452215520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145231824301200).

105422452215520 is an abundant number, since it is smaller than the sum of its proper divisors (185041196386880).

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

105422452215520 is a wasteful number, since it uses less digits than its factorization.

105422452215520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320366 (or 1320341 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

The spelling of 105422452215520 in words is "one hundred five trillion, four hundred twenty-two billion, four hundred fifty-two million, two hundred fifteen thousand, five hundred twenty".