182010109110100 has 72 divisors (see below), whose sum is σ = 397006316407008. Its totient is φ = 72427273027200.

The previous prime is 182010109110019. The next prime is 182010109110209. The reversal of 182010109110100 is 1011901010281.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199756555 + ... + 200665645.

It is an arithmetic number, because the mean of its divisors is an integer number (5513976616764).

Almost surely, 2^{182010109110100} is an apocalyptic number.

182010109110100 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 182010109110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198503158203504).

182010109110100 is an abundant number, since it is smaller than the sum of its proper divisors (214996207296908).

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

182010109110100 is a wasteful number, since it uses less digits than its factorization.

182010109110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919465 (or 919458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 182010109110100 in words is "one hundred eighty-two trillion, ten billion, one hundred nine million, one hundred ten thousand, one hundred".