107270715825 has 288 divisors, whose sum is σ = 249329097472. Its totient is φ = 44509824000.

The previous prime is 107270715821. The next prime is 107270715859. The reversal of 107270715825 is 528517072701.

It is not a de Polignac number, because 107270715825 - 2² = 107270715821 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107270715821) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33720735 + ... + 33723915.

Almost surely, 2^107270715825 is an apocalyptic number.

107270715825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107270715825 is an abundant number, since it is smaller than the sum of its proper divisors (142058381647).

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

107270715825 is a wasteful number, since it uses less digits than its factorization.

107270715825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 107270715825 in words is "one hundred seven billion, two hundred seventy million, seven hundred fifteen thousand, eight hundred twenty-five".