107969400 has 576 divisors, whose sum is σ = 487468800. Its totient is φ = 20736000.

The previous prime is 107969377. The next prime is 107969401. The reversal of 107969400 is 4969701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107969401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2633380 + ... + 2633420.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^107969400 is an apocalyptic number.

107969400 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 107969400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

107969400 is an abundant number, since it is smaller than the sum of its proper divisors (379499400).

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

107969400 is a wasteful number, since it uses less digits than its factorization.

107969400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 107969400 is about 10390.8324979282. The cubic root of 107969400 is about 476.1753349789.

The spelling of 107969400 in words is "one hundred seven million, nine hundred sixty-nine thousand, four hundred".