10726010100 has 216 divisors, whose sum is σ = 36377449472. Its totient is φ = 2627769600.

The previous prime is 10726010027. The next prime is 10726010117. The reversal of 10726010100 is 101062701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2607045 + ... + 2611155.

Almost surely, 2^10726010100 is an apocalyptic number.

10726010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10726010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188724736).

10726010100 is an abundant number, since it is smaller than the sum of its proper divisors (25651439372).

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

10726010100 is a wasteful number, since it uses less digits than its factorization.

10726010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 10726010100 its reverse (101062701), we get a palindrome (10827072801).

The spelling of 10726010100 in words is "ten billion, seven hundred twenty-six million, ten thousand, one hundred".