107245237572 has 192 divisors, whose sum is σ = 319610188800. Its totient is φ = 30756672000.

The previous prime is 107245237571. The next prime is 107245237573. The reversal of 107245237572 is 275732542701.

107245237572 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 45 + 2 + 37 + 572 = 666.

It is an interprime number because it is at equal distance from previous prime (107245237571) and next prime (107245237573).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (107245237571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30718747 + ... + 30722237.

It is an arithmetic number, because the mean of its divisors is an integer number (1664636400).

Almost surely, 2^107245237572 is an apocalyptic number.

107245237572 is a gapful number since it is divisible by the number (12) 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 107245237572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159805094400).

107245237572 is an abundant number, since it is smaller than the sum of its proper divisors (212364951228).

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

107245237572 is a wasteful number, since it uses less digits than its factorization.

107245237572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 107245237572 in words is "one hundred seven billion, two hundred forty-five million, two hundred thirty-seven thousand, five hundred seventy-two".