105739140 has 96 divisors (see below), whose sum is σ = 329204736. Its totient is φ = 25182720.

The previous prime is 105739129. The next prime is 105739141. The reversal of 105739140 is 41937501.

It is a super-2 number, since 2×105739140² = 22361531455879200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105739098 and 105739107.

It is not an unprimeable number, because it can be changed into a prime (105739141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21994 + ... + 26366.

It is an arithmetic number, because the mean of its divisors is an integer number (3429216).

Almost surely, 2^105739140 is an apocalyptic number.

105739140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105739140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164602368).

105739140 is an abundant number, since it is smaller than the sum of its proper divisors (223465596).

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

105739140 is a wasteful number, since it uses less digits than its factorization.

105739140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 105739140 is about 10282.9538557751. The cubic root of 105739140 is about 472.8738062636.

The spelling of 105739140 in words is "one hundred five million, seven hundred thirty-nine thousand, one hundred forty".