105525114450120 has 96 divisors (see below), whose sum is σ = 343015485246720. Its totient is φ = 28135200712320.

The previous prime is 105525114450113. The next prime is 105525114450143. The reversal of 105525114450120 is 21054411525501.

105525114450120 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 5 + 1 + 144 + 501 + 2 + 0 = 666.

It is a super-2 number, since 2×105525114450120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23054616 + ... + 27250055.

It is an arithmetic number, because the mean of its divisors is an integer number (3573077971320).

Almost surely, 2^{105525114450120} is an apocalyptic number.

105525114450120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105525114450120 is an abundant number, since it is smaller than the sum of its proper divisors (237490370796600).

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

105525114450120 is a wasteful number, since it uses less digits than its factorization.

105525114450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50310515 (or 50310508 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

Adding to 105525114450120 its reverse (21054411525501), we get a palindrome (126579525975621).

The spelling of 105525114450120 in words is "one hundred five trillion, five hundred twenty-five billion, one hundred fourteen million, four hundred fifty thousand, one hundred twenty".