105011413350 has 48 divisors (see below), whose sum is σ = 260697980928. Its totient is φ = 27974046240.

The previous prime is 105011413349. The next prime is 105011413387. The reversal of 105011413350 is 53314110501.

It is a super-2 number, since 2×105011413350² (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 105011413350.

It is a congruent number.

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, 216934 + ... + 507033.

It is an arithmetic number, because the mean of its divisors is an integer number (5431207936).

Almost surely, 2^105011413350 is an apocalyptic number.

105011413350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105011413350 is an abundant number, since it is smaller than the sum of its proper divisors (155686567578).

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

105011413350 is a wasteful number, since it uses less digits than its factorization.

105011413350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724949 (or 724944 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 105011413350 its reverse (53314110501), we get a palindrome (158325523851).

The spelling of 105011413350 in words is "one hundred five billion, eleven million, four hundred thirteen thousand, three hundred fifty".