10891016100 has 108 divisors (see below), whose sum is σ = 35238577920. Its totient is φ = 2810577600.

The previous prime is 10891016089. The next prime is 10891016117. The reversal of 10891016100 is 161019801.

10891016100 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 2×10891016100² (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 35 ways as a sum of consecutive naturals, for example, 167280 + ... + 223079.

Almost surely, 2^10891016100 is an apocalyptic number.

10891016100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10891016100 is an abundant number, since it is smaller than the sum of its proper divisors (24347561820).

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

10891016100 is a wasteful number, since it uses less digits than its factorization.

10891016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390410 (or 390400 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 10891016100 in words is "ten billion, eight hundred ninety-one million, sixteen thousand, one hundred".