105779740 has 48 divisors (see below), whose sum is σ = 243331200. Its totient is φ = 38306880.

The previous prime is 105779711. The next prime is 105779767. The reversal of 105779740 is 47977501.

It is a super-2 number, since 2×105779740² = 22378706788935200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105779693 and 105779702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61411 + ... + 63109.

It is an arithmetic number, because the mean of its divisors is an integer number (5069400).

Almost surely, 2^105779740 is an apocalyptic number.

105779740 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 105779740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121665600).

105779740 is an abundant number, since it is smaller than the sum of its proper divisors (137551460).

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

105779740 is a wasteful number, since it uses less digits than its factorization.

105779740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 40.

The square root of 105779740 is about 10284.9278072333. The cubic root of 105779740 is about 472.9343206573.

The spelling of 105779740 in words is "one hundred five million, seven hundred seventy-nine thousand, seven hundred forty".