10072115010 has 24 divisors (see below), whose sum is σ = 26187499260. Its totient is φ = 2685897312.

The previous prime is 10072114999. The next prime is 10072115017. The reversal of 10072115010 is 1051127001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9298552041 + 773562969 = 96429^2 + 27813^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10072115017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55956105 + ... + 55956284.

Almost surely, 2^10072115010 is an apocalyptic number.

10072115010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10072115010 is an abundant number, since it is smaller than the sum of its proper divisors (16115384250).

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

10072115010 is a wasteful number, since it uses less digits than its factorization.

10072115010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111912402 (or 111912399 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The spelling of 10072115010 in words is "ten billion, seventy-two million, one hundred fifteen thousand, ten".