107961600 has 108 divisors (see below), whose sum is σ = 356359136. Its totient is φ = 28784640.

The previous prime is 107961551. The next prime is 107961653. The reversal of 107961600 is 6169701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16389 + ... + 22011.

Almost surely, 2^107961600 is an apocalyptic number.

107961600 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 107961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178179568).

107961600 is an abundant number, since it is smaller than the sum of its proper divisors (248397536).

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

107961600 is an equidigital number, since it uses as much as digits as its factorization.

107961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 107961600 is about 10390.4571602986. The cubic root of 107961600 is about 476.1638679736.

The spelling of 107961600 in words is "one hundred seven million, nine hundred sixty-one thousand, six hundred".