105400322464 has 48 divisors (see below), whose sum is σ = 210670782336. Its totient is φ = 51898336000.

The previous prime is 105400322453. The next prime is 105400322471. The reversal of 105400322464 is 464223004501.

105400322464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105400322464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1989114 + ... + 2041414.

It is an arithmetic number, because the mean of its divisors is an integer number (4388974632).

Almost surely, 2^105400322464 is an apocalyptic number.

It is an amenable number.

105400322464 is a deficient number, since it is larger than the sum of its proper divisors (105270459872).

105400322464 is an equidigital number, since it uses as much as digits as its factorization.

105400322464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53269 (or 53261 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 105400322464 its reverse (464223004501), we get a palindrome (569623326965).

The spelling of 105400322464 in words is "one hundred five billion, four hundred million, three hundred twenty-two thousand, four hundred sixty-four".