107661600 has 216 divisors, whose sum is σ = 400130640. Its totient is φ = 27164160.

The previous prime is 107661599. The next prime is 107661623. The reversal of 107661600 is 6166701.

It is a super-2 number, since 2×107661600² = 23182040229120000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136407 + ... + 137193.

Almost surely, 2^107661600 is an apocalyptic number.

107661600 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 107661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200065320).

107661600 is an abundant number, since it is smaller than the sum of its proper divisors (292469040).

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

107661600 is a wasteful number, since it uses less digits than its factorization.

107661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107661600 is about 10376.0107941347. The cubic root of 107661600 is about 475.7224095296.

The spelling of 107661600 in words is "one hundred seven million, six hundred sixty-one thousand, six hundred".