105599040 has 112 divisors (see below), whose sum is σ = 337303872. Its totient is φ = 27990016.

The previous prime is 105599033. The next prime is 105599047. The reversal of 105599040 is 40995501.

It is an interprime number because it is at equal distance from previous prime (105599033) and next prime (105599047).

It is a super-2 number, since 2×105599040² = 22302314497843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105598992 and 105599010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105599047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304147 + ... + 304493.

Almost surely, 2^105599040 is an apocalyptic number.

105599040 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 105599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168651936).

105599040 is an abundant number, since it is smaller than the sum of its proper divisors (231704832).

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

105599040 is a wasteful number, since it uses less digits than its factorization.

105599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 105599040 is about 10276.1393528893. The cubic root of 105599040 is about 472.6648678605.

The spelling of 105599040 in words is "one hundred five million, five hundred ninety-nine thousand, forty".