105045822 has 80 divisors (see below), whose sum is σ = 284882400. Its totient is φ = 28242432.

The previous prime is 105045821. The next prime is 105045823. The reversal of 105045822 is 228540501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105045821) and next prime (105045823).

It is a super-2 number, since 2×105045822² = 22069249439311368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105045821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16554 + ... + 22002.

It is an arithmetic number, because the mean of its divisors is an integer number (3561030).

Almost surely, 2^105045822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105045822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142441200).

105045822 is an abundant number, since it is smaller than the sum of its proper divisors (179836578).

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

105045822 is a wasteful number, since it uses less digits than its factorization.

105045822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105045822 is about 10249.1864067349. The cubic root of 105045822 is about 471.8380147729.

The spelling of 105045822 in words is "one hundred five million, forty-five thousand, eight hundred twenty-two".