105950840 has 32 divisors (see below), whose sum is σ = 250938000. Its totient is φ = 40149504.

The previous prime is 105950837. The next prime is 105950849. The reversal of 105950840 is 48059501.

It is a super-2 number, since 2×105950840² = 22451160993411200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105950797 and 105950806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105950849) 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 7 ways as a sum of consecutive naturals, for example, 68945 + ... + 70464.

Almost surely, 2^105950840 is an apocalyptic number.

105950840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105950840 is an abundant number, since it is smaller than the sum of its proper divisors (144987160).

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

105950840 is a wasteful number, since it uses less digits than its factorization.

105950840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139439 (or 139435 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 105950840 is about 10293.2424434675. The cubic root of 105950840 is about 473.1891756111.

The spelling of 105950840 in words is "one hundred five million, nine hundred fifty thousand, eight hundred forty".