105355332456 has 64 divisors (see below), whose sum is σ = 290294988480. Its totient is φ = 31596718080.

The previous prime is 105355332431. The next prime is 105355332487. The reversal of 105355332456 is 654233553501.

105355332456 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 2×105355332456² (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 15 ways as a sum of consecutive naturals, for example, 2031471 + ... + 2082686.

It is an arithmetic number, because the mean of its divisors is an integer number (4535859195).

Almost surely, 2^105355332456 is an apocalyptic number.

It is an amenable number.

105355332456 is an abundant number, since it is smaller than the sum of its proper divisors (184939656024).

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

105355332456 is a wasteful number, since it uses less digits than its factorization.

105355332456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114274 (or 4114270 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

Adding to 105355332456 its reverse (654233553501), we get a palindrome (759588885957).

The spelling of 105355332456 in words is "one hundred five billion, three hundred fifty-five million, three hundred thirty-two thousand, four hundred fifty-six".