10137006100 has 36 divisors (see below), whose sum is σ = 23689406524. Its totient is φ = 3742894080.

The previous prime is 10137006083. The next prime is 10137006127. The reversal of 10137006100 is 160073101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1411204356 + 8725801744 = 37566^2 + 93412^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3897549 + ... + 3900148.

Almost surely, 2^10137006100 is an apocalyptic number.

10137006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10137006100 is an abundant number, since it is smaller than the sum of its proper divisors (13552400424).

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

10137006100 is a wasteful number, since it uses less digits than its factorization.

10137006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797724 (or 7797717 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 10137006100 its reverse (160073101), we get a palindrome (10297079201).

The spelling of 10137006100 in words is "ten billion, one hundred thirty-seven million, six thousand, one hundred".