105346311060 has 96 divisors (see below), whose sum is σ = 299294134272. Its totient is φ = 27680947840.

The previous prime is 105346311047. The next prime is 105346311079. The reversal of 105346311060 is 60113643501.

It is a super-2 number, since 2×105346311060² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8782387 + ... + 8794373.

It is an arithmetic number, because the mean of its divisors is an integer number (3117647232).

Almost surely, 2^105346311060 is an apocalyptic number.

105346311060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105346311060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149647067136).

105346311060 is an abundant number, since it is smaller than the sum of its proper divisors (193947823212).

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

105346311060 is a wasteful number, since it uses less digits than its factorization.

105346311060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14133 (or 14131 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 105346311060 its reverse (60113643501), we get a palindrome (165459954561).

The spelling of 105346311060 in words is "one hundred five billion, three hundred forty-six million, three hundred eleven thousand, sixty".