105525516405306 has 32 divisors (see below), whose sum is σ = 211129855096320. Its totient is φ = 35162036929584.

The previous prime is 105525516405263. The next prime is 105525516405307. The reversal of 105525516405306 is 603504615525501.

It is a super-2 number, since 2×105525516405306² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105525516405307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236443441 + ... + 236889323.

It is an arithmetic number, because the mean of its divisors is an integer number (6597807971760).

Almost surely, 2^{105525516405306} is an apocalyptic number.

105525516405306 is an abundant number, since it is smaller than the sum of its proper divisors (105604338691014).

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

105525516405306 is a wasteful number, since it uses less digits than its factorization.

105525516405306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460530.

The product of its (nonzero) digits is 2700000, while the sum is 48.

The spelling of 105525516405306 in words is "one hundred five trillion, five hundred twenty-five billion, five hundred sixteen million, four hundred five thousand, three hundred six".