105577220034 has 96 divisors (see below), whose sum is σ = 269365509504. Its totient is φ = 29463575040.

The previous prime is 105577219981. The next prime is 105577220071. The reversal of 105577220034 is 430022775501.

105577220034 is a `hidden beast` number, since 1 + 0 + 557 + 72 + 2 + 0 + 0 + 34 = 666.

105577220034 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 2×105577220034² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067179 + ... + 1161905.

It is an arithmetic number, because the mean of its divisors is an integer number (2805890724).

Almost surely, 2^105577220034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105577220034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134682754752).

105577220034 is an abundant number, since it is smaller than the sum of its proper divisors (163788289470).

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

105577220034 is a wasteful number, since it uses less digits than its factorization.

105577220034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95192 (or 95189 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 105577220034 its reverse (430022775501), we get a palindrome (535599995535).

The spelling of 105577220034 in words is "one hundred five billion, five hundred seventy-seven million, two hundred twenty thousand, thirty-four".