107527460 has 72 divisors (see below), whose sum is σ = 243678456. Its totient is φ = 39836160.

The previous prime is 107527423. The next prime is 107527463. The reversal of 107527460 is 64725701.

It can be written as a sum of positive squares in 4 ways, for example, as 27102436 + 80425024 = 5206^2 + 8968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107527463) 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 23 ways as a sum of consecutive naturals, for example, 382520 + ... + 382800.

It is an arithmetic number, because the mean of its divisors is an integer number (3384423).

Almost surely, 2^107527460 is an apocalyptic number.

107527460 is a gapful number since it is divisible by the number (10) 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 107527460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121839228).

107527460 is an abundant number, since it is smaller than the sum of its proper divisors (136150996).

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

107527460 is a wasteful number, since it uses less digits than its factorization.

107527460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 107527460 is about 10369.5448308978. The cubic root of 107527460 is about 475.5247534017.

The spelling of 107527460 in words is "one hundred seven million, five hundred twenty-seven thousand, four hundred sixty".