10007106740 has 12 divisors (see below), whose sum is σ = 21014924196. Its totient is φ = 4002842688.

The previous prime is 10007106737. The next prime is 10007106743. The reversal of 10007106740 is 4760170001.

It is an interprime number because it is at equal distance from previous prime (10007106737) and next prime (10007106743).

It can be written as a sum of positive squares in 2 ways, for example, as 3269323684 + 6737783056 = 57178^2 + 82084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007106743) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250177649 + ... + 250177688.

It is an arithmetic number, because the mean of its divisors is an integer number (1751243683).

Almost surely, 2^10007106740 is an apocalyptic number.

10007106740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10007106740 is an abundant number, since it is smaller than the sum of its proper divisors (11007817456).

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

10007106740 is a wasteful number, since it uses less digits than its factorization.

10007106740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500355346 (or 500355344 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

Adding to 10007106740 its reverse (4760170001), we get a palindrome (14767276741).

The spelling of 10007106740 in words is "ten billion, seven million, one hundred six thousand, seven hundred forty".