107281664 has 72 divisors (see below), whose sum is σ = 247144128. Its totient is φ = 45527040.

The previous prime is 107281663. The next prime is 107281687. The reversal of 107281664 is 466182701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107281661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234524 + ... + 234980.

Almost surely, 2^107281664 is an apocalyptic number.

107281664 is a gapful number since it is divisible by the number (14) 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 107281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123572064).

107281664 is an abundant number, since it is smaller than the sum of its proper divisors (139862464).

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

107281664 is an equidigital number, since it uses as much as digits as its factorization.

107281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 107281664 is about 10357.6862281110. The cubic root of 107281664 is about 475.1621444599.

The spelling of 107281664 in words is "one hundred seven million, two hundred eighty-one thousand, six hundred sixty-four".