105908040 has 128 divisors (see below), whose sum is σ = 403488000. Its totient is φ = 24205824.

The previous prime is 105908027. The next prime is 105908041. The reversal of 105908040 is 40809501.

It is a super-2 number, since 2×105908040² = 22433025873283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105907995 and 105908013.

It is not an unprimeable number, because it can be changed into a prime (105908041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556 + ... + 14564.

It is an arithmetic number, because the mean of its divisors is an integer number (3152250).

Almost surely, 2^105908040 is an apocalyptic number.

105908040 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 105908040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201744000).

105908040 is an abundant number, since it is smaller than the sum of its proper divisors (297579960).

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

105908040 is a wasteful number, since it uses less digits than its factorization.

105908040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14036 (or 14026 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105908040 is about 10291.1631995611. The cubic root of 105908040 is about 473.1254503828.

The spelling of 105908040 in words is "one hundred five million, nine hundred eight thousand, forty".