105709840 has 80 divisors (see below), whose sum is σ = 260304768. Its totient is φ = 39840768.

The previous prime is 105709829. The next prime is 105709861. The reversal of 105709840 is 48907501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105709840² = 22349140545651200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105709796 and 105709805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133927 + ... + 134713.

Almost surely, 2^105709840 is an apocalyptic number.

105709840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105709840 is the 8395-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105709840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130152384).

105709840 is an abundant number, since it is smaller than the sum of its proper divisors (154594928).

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

105709840 is a wasteful number, since it uses less digits than its factorization.

105709840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 105709840 is about 10281.5290691609. The cubic root of 105709840 is about 472.8301249220.

The spelling of 105709840 in words is "one hundred five million, seven hundred nine thousand, eight hundred forty".