105100882700 has 72 divisors (see below), whose sum is σ = 248936202480. Its totient is φ = 38197958400.

The previous prime is 105100882693. The next prime is 105100882703. The reversal of 105100882700 is 7288001501.

It is a happy number.

105100882700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105100882700² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105100882703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101586 + ... + 2151014.

Almost surely, 2^105100882700 is an apocalyptic number.

105100882700 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 105100882700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124468101240).

105100882700 is an abundant number, since it is smaller than the sum of its proper divisors (143835319780).

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

105100882700 is a wasteful number, since it uses less digits than its factorization.

105100882700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51387 (or 51380 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The spelling of 105100882700 in words is "one hundred five billion, one hundred million, eight hundred eighty-two thousand, seven hundred".