105597840 has 40 divisors (see below), whose sum is σ = 327354048. Its totient is φ = 28159360.

The previous prime is 105597797. The next prime is 105597847. The reversal of 105597840 is 48795501.

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

It is a super-2 number, since 2×105597840² = 22301807625331200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105597847) 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, 219756 + ... + 220235.

Almost surely, 2^105597840 is an apocalyptic number.

105597840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105597840 is an abundant number, since it is smaller than the sum of its proper divisors (221756208).

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

105597840 is a wasteful number, since it uses less digits than its factorization.

105597840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440007 (or 440001 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 105597840 is about 10276.0809650372. The cubic root of 105597840 is about 472.6630774403.

The spelling of 105597840 in words is "one hundred five million, five hundred ninety-seven thousand, eight hundred forty".