105622440 has 384 divisors, whose sum is σ = 425502720. Its totient is φ = 20697600.

The previous prime is 105622423. The next prime is 105622477. The reversal of 105622440 is 44226501.

It is a super-2 number, since 2×105622440² = 22312199663107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105622440.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1487605 + ... + 1487675.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 2^105622440 is an apocalyptic number.

105622440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105622440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212751360).

105622440 is an abundant number, since it is smaller than the sum of its proper divisors (319880280).

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

105622440 is a wasteful number, since it uses less digits than its factorization.

105622440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 105622440 is about 10277.2778497032. The cubic root of 105622440 is about 472.6997783453.

Adding to 105622440 its reverse (44226501), we get a palindrome (149848941).

The spelling of 105622440 in words is "one hundred five million, six hundred twenty-two thousand, four hundred forty".