107842272 has 96 divisors (see below), whose sum is σ = 294672672. Its totient is φ = 34504704.

The previous prime is 107842261. The next prime is 107842289. The reversal of 107842272 is 272248701.

It is a tau number, because it is divible by the number of its divisors (96).

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, 344388 + ... + 344700.

It is an arithmetic number, because the mean of its divisors is an integer number (3069507).

Almost surely, 2^107842272 is an apocalyptic number.

107842272 is a gapful number since it is divisible by the number (12) 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 107842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147336336).

107842272 is an abundant number, since it is smaller than the sum of its proper divisors (186830400).

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

107842272 is a wasteful number, since it uses less digits than its factorization.

107842272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 107842272 is about 10384.7133807342. The cubic root of 107842272 is about 475.9883715352.

The spelling of 107842272 in words is "one hundred seven million, eight hundred forty-two thousand, two hundred seventy-two".