105631440 has 40 divisors (see below), whose sum is σ = 327458208. Its totient is φ = 28168320.

The previous prime is 105631423. The next prime is 105631441. The reversal of 105631440 is 44136501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105631440² = 22316002232947200, 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 105631440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105631441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219826 + ... + 220305.

Almost surely, 2^105631440 is an apocalyptic number.

105631440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105631440 is an abundant number, since it is smaller than the sum of its proper divisors (221826768).

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

105631440 is a wasteful number, since it uses less digits than its factorization.

105631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440147 (or 440141 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105631440 is about 10277.7156995122. The cubic root of 105631440 is about 472.7132040819.

Adding to 105631440 its reverse (44136501), we get a palindrome (149767941).

The spelling of 105631440 in words is "one hundred five million, six hundred thirty-one thousand, four hundred forty".