105115553350 has 72 divisors (see below), whose sum is σ = 206851963752. Its totient is φ = 39732739200.

The previous prime is 105115553341. The next prime is 105115553371. The reversal of 105115553350 is 53355511501.

It is a super-2 number, since 2×105115553350² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2171410 + ... + 2219290.

It is an arithmetic number, because the mean of its divisors is an integer number (2872943941).

Almost surely, 2^105115553350 is an apocalyptic number.

105115553350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105115553350 is a deficient number, since it is larger than the sum of its proper divisors (101736410402).

105115553350 is a wasteful number, since it uses less digits than its factorization.

105115553350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48022 (or 47994 counting only the distinct ones).

The product of its (nonzero) digits is 28125, while the sum is 34.

The spelling of 105115553350 in words is "one hundred five billion, one hundred fifteen million, five hundred fifty-three thousand, three hundred fifty".