681158006100 has 720 divisors, whose sum is σ = 2601252842496. Its totient is φ = 152005248000.

The previous prime is 681158006093. The next prime is 681158006129. The reversal of 681158006100 is 1600851186.

681158006100 is a `hidden beast` number, since 6 + 8 + 11 + 580 + 0 + 61 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 626639757 + ... + 626640843.

Almost surely, 2^681158006100 is an apocalyptic number.

681158006100 is a gapful number since it is divisible by the number (60) 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 681158006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300626421248).

681158006100 is an abundant number, since it is smaller than the sum of its proper divisors (1920094836396).

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

681158006100 is a wasteful number, since it uses less digits than its factorization.

681158006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 681158006100 its reverse (1600851186), we get a palindrome (682758857286).

The spelling of 681158006100 in words is "six hundred eighty-one billion, one hundred fifty-eight million, six thousand, one hundred".