10137061690 has 48 divisors (see below), whose sum is σ = 21910500864. Its totient is φ = 3363444000.

The previous prime is 10137061603. The next prime is 10137061729. The reversal of 10137061690 is 9616073101.

10137061690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10137061690² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318486 + ... + 348865.

It is an arithmetic number, because the mean of its divisors is an integer number (456468768).

Almost surely, 2^10137061690 is an apocalyptic number.

10137061690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10137061690 is an abundant number, since it is smaller than the sum of its proper divisors (11773439174).

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

10137061690 is a wasteful number, since it uses less digits than its factorization.

10137061690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667403 (or 667396 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 10137061690 in words is "ten billion, one hundred thirty-seven million, sixty-one thousand, six hundred ninety".