105362164410 has 64 divisors (see below), whose sum is σ = 264434208768. Its totient is φ = 26816860224.

The previous prime is 105362164381. The next prime is 105362164429. The reversal of 105362164410 is 14461263501.

It is a super-2 number, since 2×105362164410² (a number of 23 digits) contains 22 as substring.

It is a Curzon 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, 154569 + ... + 484371.

It is an arithmetic number, because the mean of its divisors is an integer number (4131784512).

Almost surely, 2^105362164410 is an apocalyptic number.

105362164410 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 105362164410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132217104384).

105362164410 is an abundant number, since it is smaller than the sum of its proper divisors (159072044358).

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

105362164410 is a wasteful number, since it uses less digits than its factorization.

105362164410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330299.

The product of its (nonzero) digits is 17280, while the sum is 33.

Subtracting from 105362164410 its reverse (14461263501), we obtain a palindrome (90900900909).

The spelling of 105362164410 in words is "one hundred five billion, three hundred sixty-two million, one hundred sixty-four thousand, four hundred ten".