10861834100 has 72 divisors (see below), whose sum is σ = 25630026240. Its totient is φ = 3971537280.

The previous prime is 10861834051. The next prime is 10861834153. The reversal of 10861834100 is 143816801.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 93341 + ... + 174459.

Almost surely, 2^10861834100 is an apocalyptic number.

10861834100 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 10861834100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12815013120).

10861834100 is an abundant number, since it is smaller than the sum of its proper divisors (14768192140).

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

10861834100 is a wasteful number, since it uses less digits than its factorization.

10861834100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81249 (or 81242 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10861834100 in words is "ten billion, eight hundred sixty-one million, eight hundred thirty-four thousand, one hundred".