107497440 has 144 divisors (see below), whose sum is σ = 386240400. Its totient is φ = 27150336.

The previous prime is 107497417. The next prime is 107497441. The reversal of 107497440 is 44794701.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 107497395 and 107497404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107497441) 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, 25396 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (2682225).

Almost surely, 2^107497440 is an apocalyptic number.

107497440 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 107497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193120200).

107497440 is an abundant number, since it is smaller than the sum of its proper divisors (278742960).

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

107497440 is a wasteful number, since it uses less digits than its factorization.

107497440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 107497440 is about 10368.0972217664. The cubic root of 107497440 is about 475.4804962362.

The spelling of 107497440 in words is "one hundred seven million, four hundred ninety-seven thousand, four hundred forty".