105633312510 has 128 divisors (see below), whose sum is σ = 286113005568. Its totient is φ = 24727824000.

The previous prime is 105633312487. The next prime is 105633312563. The reversal of 105633312510 is 15213336501.

It is a super-2 number, since 2×105633312510² (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 63 ways as a sum of consecutive naturals, for example, 4766355 + ... + 4788465.

It is an arithmetic number, because the mean of its divisors is an integer number (2235257856).

Almost surely, 2^105633312510 is an apocalyptic number.

105633312510 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 105633312510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143056502784).

105633312510 is an abundant number, since it is smaller than the sum of its proper divisors (180479693058).

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

105633312510 is a wasteful number, since it uses less digits than its factorization.

105633312510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22630.

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 105633312510 in words is "one hundred five billion, six hundred thirty-three million, three hundred twelve thousand, five hundred ten".