107291197440 has 360 divisors, whose sum is σ = 425084980320. Its totient is φ = 24522522624.

The previous prime is 107291197379. The next prime is 107291197459. The reversal of 107291197440 is 44791192701.

107291197440 is a `hidden beast` number, since 10 + 7 + 2 + 9 + 1 + 197 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×107291197440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5150566 + ... + 5171354.

It is an arithmetic number, because the mean of its divisors is an integer number (1180791612).

Almost surely, 2^107291197440 is an apocalyptic number.

107291197440 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 107291197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212542490160).

107291197440 is an abundant number, since it is smaller than the sum of its proper divisors (317793782880).

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

107291197440 is an equidigital number, since it uses as much as digits as its factorization.

107291197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20835 (or 20806 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 107291197440 in words is "one hundred seven billion, two hundred ninety-one million, one hundred ninety-seven thousand, four hundred forty".