105422042550 has 144 divisors (see below), whose sum is σ = 296647013376. Its totient is φ = 24732312000.

The previous prime is 105422042503. The next prime is 105422042567. The reversal of 105422042550 is 55240224501.

It is a super-2 number, since 2×105422042550² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 468967 + ... + 656333.

It is an arithmetic number, because the mean of its divisors is an integer number (2060048704).

Almost surely, 2^105422042550 is an apocalyptic number.

105422042550 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 105422042550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148323506688).

105422042550 is an abundant number, since it is smaller than the sum of its proper divisors (191224970826).

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

105422042550 is a wasteful number, since it uses less digits than its factorization.

105422042550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187435 (or 187419 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 105422042550 in words is "one hundred five billion, four hundred twenty-two million, forty-two thousand, five hundred fifty".