105600763400 has 96 divisors (see below), whose sum is σ = 271511416800. Its totient is φ = 37874188800.

The previous prime is 105600763393. The next prime is 105600763403. The reversal of 105600763400 is 4367006501.

It is a super-2 number, since 2×105600763400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105600763403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168170 + ... + 489369.

It is an arithmetic number, because the mean of its divisors is an integer number (2828243925).

Almost surely, 2^105600763400 is an apocalyptic number.

105600763400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105600763400 is an abundant number, since it is smaller than the sum of its proper divisors (165910653400).

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

105600763400 is a wasteful number, since it uses less digits than its factorization.

105600763400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657639 (or 657630 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 105600763400 its reverse (4367006501), we get a palindrome (109967769901).

The spelling of 105600763400 in words is "one hundred five billion, six hundred million, seven hundred sixty-three thousand, four hundred".