107128436 has 30 divisors (see below), whose sum is σ = 200404050. Its totient is φ = 50048880.

The previous prime is 107128433. The next prime is 107128447. The reversal of 107128436 is 634821701.

It can be written as a sum of positive squares in only one way, i.e., 92352100 + 14776336 = 9610^2 + 3844^2 .

It is a super-2 number, since 2×107128436² = 22953003599612192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107128433) 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 9 ways as a sum of consecutive naturals, for example, 3455741 + ... + 3455771.

It is an arithmetic number, because the mean of its divisors is an integer number (6680135).

Almost surely, 2^107128436 is an apocalyptic number.

It is an amenable number.

107128436 is a deficient number, since it is larger than the sum of its proper divisors (93275614).

107128436 is an frugal number, since it uses more digits than its factorization.

107128436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 107128436 is about 10350.2867593125. The cubic root of 107128436 is about 474.9358155195.

The spelling of 107128436 in words is "one hundred seven million, one hundred twenty-eight thousand, four hundred thirty-six".