105683968432 has 120 divisors (see below), whose sum is σ = 254538470400. Its totient is φ = 41524306560.

The previous prime is 105683968409. The next prime is 105683968433. The reversal of 105683968432 is 234869386501.

It is a super-2 number, since 2×105683968432² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105683968433) 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, 2019169 + ... + 2070847.

It is an arithmetic number, because the mean of its divisors is an integer number (2121153920).

Almost surely, 2^105683968432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105683968432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127269235200).

105683968432 is an abundant number, since it is smaller than the sum of its proper divisors (148854501968).

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

105683968432 is a wasteful number, since it uses less digits than its factorization.

105683968432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51775 (or 51738 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 105683968432 in words is "one hundred five billion, six hundred eighty-three million, nine hundred sixty-eight thousand, four hundred thirty-two".