105782420 has 12 divisors (see below), whose sum is σ = 222143124. Its totient is φ = 42312960.

The previous prime is 105782399. The next prime is 105782431. The reversal of 105782420 is 24287501.

It can be written as a sum of positive squares in 2 ways, for example, as 20921476 + 84860944 = 4574^2 + 9212^2 .

It is a super-2 number, since 2×105782420² = 22379840762112800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2644541 + ... + 2644580.

It is an arithmetic number, because the mean of its divisors is an integer number (18511927).

Almost surely, 2^105782420 is an apocalyptic number.

105782420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105782420 is an abundant number, since it is smaller than the sum of its proper divisors (116360704).

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

105782420 is a wasteful number, since it uses less digits than its factorization.

105782420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289130 (or 5289128 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 105782420 is about 10285.0580941480. The cubic root of 105782420 is about 472.9383146587.

The spelling of 105782420 in words is "one hundred five million, seven hundred eighty-two thousand, four hundred twenty".