105969840 has 160 divisors (see below), whose sum is σ = 366405120. Its totient is φ = 25178112.

The previous prime is 105969833. The next prime is 105969863. The reversal of 105969840 is 48969501.

It is a super-2 number, since 2×105969840² = 22459213979251200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105969792 and 105969801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76837 + ... + 78203.

It is an arithmetic number, because the mean of its divisors is an integer number (2290032).

Almost surely, 2^105969840 is an apocalyptic number.

105969840 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 105969840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

105969840 is an abundant number, since it is smaller than the sum of its proper divisors (260435280).

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

105969840 is a wasteful number, since it uses less digits than its factorization.

105969840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 105969840 is about 10294.1653377047. The cubic root of 105969840 is about 473.2174593478.

The spelling of 105969840 in words is "one hundred five million, nine hundred sixty-nine thousand, eight hundred forty".