105335648432 has 40 divisors (see below), whose sum is σ = 233730278400. Its totient is φ = 45049580352.

The previous prime is 105335648401. The next prime is 105335648459. The reversal of 105335648432 is 234846533501.

It is a super-2 number, since 2×105335648432² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 928082 + ... + 1035377.

It is an arithmetic number, because the mean of its divisors is an integer number (5843256960).

Almost surely, 2^105335648432 is an apocalyptic number.

It is an amenable number.

105335648432 is an abundant number, since it is smaller than the sum of its proper divisors (128394629968).

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

105335648432 is a wasteful number, since it uses less digits than its factorization.

105335648432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963953 (or 1963947 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 105335648432 in words is "one hundred five billion, three hundred thirty-five million, six hundred forty-eight thousand, four hundred thirty-two".