105421511310 has 64 divisors (see below), whose sum is σ = 264173764608. Its totient is φ = 26873662464.

The previous prime is 105421511297. The next prime is 105421511323. The reversal of 105421511310 is 13115124501.

It is an interprime number because it is at equal distance from previous prime (105421511297) and next prime (105421511323).

It is a super-2 number, since 2×105421511310² (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 31 ways as a sum of consecutive naturals, for example, 1101534 + ... + 1193406.

It is an arithmetic number, because the mean of its divisors is an integer number (4127715072).

Almost surely, 2^105421511310 is an apocalyptic number.

105421511310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105421511310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132086882304).

105421511310 is an abundant number, since it is smaller than the sum of its proper divisors (158752253298).

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

105421511310 is a wasteful number, since it uses less digits than its factorization.

105421511310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93569.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 105421511310 its reverse (13115124501), we get a palindrome (118536635811).

The spelling of 105421511310 in words is "one hundred five billion, four hundred twenty-one million, five hundred eleven thousand, three hundred ten".