107540400 has 120 divisors (see below), whose sum is σ = 375850944. Its totient is φ = 26067200.

The previous prime is 107540393. The next prime is 107540401. The reversal of 107540400 is 4045701.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (107540401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9127 + ... + 17273.

Almost surely, 2^107540400 is an apocalyptic number.

107540400 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 107540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187925472).

107540400 is an abundant number, since it is smaller than the sum of its proper divisors (268310544).

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

107540400 is a wasteful number, since it uses less digits than its factorization.

107540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8179 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 107540400 is about 10370.1687546539. The cubic root of 107540400 is about 475.5438277339.

The spelling of 107540400 in words is "one hundred seven million, five hundred forty thousand, four hundred".