107672400 has 180 divisors, whose sum is σ = 407771520. Its totient is φ = 26092800.

The previous prime is 107672377. The next prime is 107672419. The reversal of 107672400 is 4276701.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38241 + ... + 40959.

Almost surely, 2^107672400 is an apocalyptic number.

107672400 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 107672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203885760).

107672400 is an abundant number, since it is smaller than the sum of its proper divisors (300099120).

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

107672400 is a wasteful number, since it uses less digits than its factorization.

107672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 107672400 is about 10376.5312123079. The cubic root of 107672400 is about 475.7383162541.

The spelling of 107672400 in words is "one hundred seven million, six hundred seventy-two thousand, four hundred".