105502505346 has 120 divisors (see below), whose sum is σ = 275291272080. Its totient is φ = 30111682608.

The previous prime is 105502505321. The next prime is 105502505351. The reversal of 105502505346 is 643505205501.

105502505346 is a `hidden beast` number, since 1 + 0 + 550 + 2 + 50 + 53 + 4 + 6 = 666.

It is a super-2 number, since 2×105502505346² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105502505346.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8082301 + ... + 8095343.

It is an arithmetic number, because the mean of its divisors is an integer number (2294093934).

Almost surely, 2^105502505346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105502505346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137645636040).

105502505346 is an abundant number, since it is smaller than the sum of its proper divisors (169788766734).

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

105502505346 is a wasteful number, since it uses less digits than its factorization.

105502505346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14090 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 105502505346 in words is "one hundred five billion, five hundred two million, five hundred five thousand, three hundred forty-six".