105939744 has 72 divisors (see below), whose sum is σ = 293947920. Its totient is φ = 33315840.

The previous prime is 105939727. The next prime is 105939761. The reversal of 105939744 is 447939501.

It is an interprime number because it is at equal distance from previous prime (105939727) and next prime (105939761).

It is a super-2 number, since 2×105939744² = 22446458717571072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105939696 and 105939705.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439464 + ... + 439704.

It is an arithmetic number, because the mean of its divisors is an integer number (4082610).

Almost surely, 2^105939744 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 105939744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146973960).

105939744 is an abundant number, since it is smaller than the sum of its proper divisors (188008176).

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

105939744 is an equidigital number, since it uses as much as digits as its factorization.

105939744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 105939744 is about 10292.7034349582. The cubic root of 105939744 is about 473.1726563449.

The spelling of 105939744 in words is "one hundred five million, nine hundred thirty-nine thousand, seven hundred forty-four".