105660929844 has 120 divisors (see below), whose sum is σ = 277688936448. Its totient is φ = 35033342400.

The previous prime is 105660929839. The next prime is 105660929917. The reversal of 105660929844 is 448929066501.

105660929844 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 609 + 29 + 8 + 4 + 4 = 666.

It is a super-2 number, since 2×105660929844² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91798669 + ... + 91799819.

Almost surely, 2^105660929844 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 105660929844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138844468224).

105660929844 is an abundant number, since it is smaller than the sum of its proper divisors (172028006604).

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

105660929844 is a wasteful number, since it uses less digits than its factorization.

105660929844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 105660929844 in words is "one hundred five billion, six hundred sixty million, nine hundred twenty-nine thousand, eight hundred forty-four".