107977400 has 48 divisors (see below), whose sum is σ = 252402000. Its totient is φ = 42958080.

The previous prime is 107977391. The next prime is 107977403. The reversal of 107977400 is 4779701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107977403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38444 + ... + 41156.

It is an arithmetic number, because the mean of its divisors is an integer number (5258375).

Almost surely, 2^107977400 is an apocalyptic number.

107977400 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 107977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126201000).

107977400 is an abundant number, since it is smaller than the sum of its proper divisors (144424600).

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

107977400 is a wasteful number, since it uses less digits than its factorization.

107977400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 35.

The square root of 107977400 is about 10391.2174455162. The cubic root of 107977400 is about 476.1870954363.

The spelling of 107977400 in words is "one hundred seven million, nine hundred seventy-seven thousand, four hundred".