106305517434 has 32 divisors (see below), whose sum is σ = 214212807360. Its totient is φ = 35168331392.

The previous prime is 106305517411. The next prime is 106305517477. The reversal of 106305517434 is 434715503601.

106305517434 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106305517434² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106305517392 and 106305517401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4252897 + ... + 4277819.

It is an arithmetic number, because the mean of its divisors is an integer number (6694150230).

Almost surely, 2^106305517434 is an apocalyptic number.

106305517434 is an abundant number, since it is smaller than the sum of its proper divisors (107907289926).

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

106305517434 is a wasteful number, since it uses less digits than its factorization.

106305517434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30254.

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 106305517434 in words is "one hundred six billion, three hundred five million, five hundred seventeen thousand, four hundred thirty-four".