107682048 has 126 divisors (see below), whose sum is σ = 322826294. Its totient is φ = 35831808.

The previous prime is 107682041. The next prime is 107682053. The reversal of 107682048 is 840286701.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 186624 = 10368^2 + 432^2 .

It is a super-2 number, since 2×107682048² = 23190846922948608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107682041) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186336 + ... + 186912.

Almost surely, 2^107682048 is an apocalyptic number.

107682048 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 107682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161413147).

107682048 is an abundant number, since it is smaller than the sum of its proper divisors (215144246).

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

107682048 is an frugal number, since it uses more digits than its factorization.

107682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 107682048 is about 10376.9960971372. The cubic root of 107682048 is about 475.7525253618.

The spelling of 107682048 in words is "one hundred seven million, six hundred eighty-two thousand, forty-eight".