105928440 has 64 divisors (see below), whose sum is σ = 319606560. Its totient is φ = 28085760.

The previous prime is 105928399. The next prime is 105928451. The reversal of 105928440 is 44829501.

It is a super-2 number, since 2×105928440² = 22441668801667200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19282 + ... + 24158.

Almost surely, 2^105928440 is an apocalyptic number.

105928440 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 105928440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159803280).

105928440 is an abundant number, since it is smaller than the sum of its proper divisors (213678120).

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

105928440 is a wasteful number, since it uses less digits than its factorization.

105928440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 105928440 is about 10292.1542934412. The cubic root of 105928440 is about 473.1558262307.

The spelling of 105928440 in words is "one hundred five million, nine hundred twenty-eight thousand, four hundred forty".