105610002550 has 24 divisors (see below), whose sum is σ = 211544960256. Its totient is φ = 38994462240.

The previous prime is 105610002523. The next prime is 105610002559. The reversal of 105610002550 is 55200016501.

It is a super-2 number, since 2×105610002550² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105610002559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81237814 + ... + 81239113.

It is an arithmetic number, because the mean of its divisors is an integer number (8814373344).

Almost surely, 2^105610002550 is an apocalyptic number.

105610002550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105610002550 is an abundant number, since it is smaller than the sum of its proper divisors (105934957706).

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

105610002550 is a wasteful number, since it uses less digits than its factorization.

105610002550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162476952 (or 162476947 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 105610002550 in words is "one hundred five billion, six hundred ten million, two thousand, five hundred fifty".