107224128 has 112 divisors (see below), whose sum is σ = 343936320. Its totient is φ = 32486400.

The previous prime is 107224109. The next prime is 107224193. The reversal of 107224128 is 821422701.

It is a super-2 number, since 2×107224128² = 22994027250720768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16188 + ... + 21828.

It is an arithmetic number, because the mean of its divisors is an integer number (3070860).

Almost surely, 2^107224128 is an apocalyptic number.

107224128 is a gapful number since it is divisible by the number (18) 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 107224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171968160).

107224128 is an abundant number, since it is smaller than the sum of its proper divisors (236712192).

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

107224128 is a wasteful number, since it uses less digits than its factorization.

107224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 107224128 is about 10354.9084013332. The cubic root of 107224128 is about 475.0771848718.

Adding to 107224128 its reverse (821422701), we get a palindrome (928646829).

It can be divided in two parts, 1072 and 24128, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 107224128 in words is "one hundred seven million, two hundred twenty-four thousand, one hundred twenty-eight".