107832420 has 36 divisors (see below), whose sum is σ = 327092220. Its totient is φ = 28755264.

The previous prime is 107832409. The next prime is 107832427. The reversal of 107832420 is 24238701.

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 37675044 = 8376^2 + 6138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (107832427) 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 11 ways as a sum of consecutive naturals, for example, 299355 + ... + 299714.

It is an arithmetic number, because the mean of its divisors is an integer number (9085895).

Almost surely, 2^107832420 is an apocalyptic number.

107832420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107832420 is an abundant number, since it is smaller than the sum of its proper divisors (219259800).

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

107832420 is a wasteful number, since it uses less digits than its factorization.

107832420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599084 (or 599079 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107832420 is about 10384.2390188208. The cubic root of 107832420 is about 475.9738763527.

It can be divided in two parts, 10783 and 2420, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 107832420 in words is "one hundred seven million, eight hundred thirty-two thousand, four hundred twenty".