20075100 has 72 divisors (see below), whose sum is σ = 59089968. Its totient is φ = 5260800.

The previous prime is 20075089. The next prime is 20075141. The reversal of 20075100 is 157002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20075100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17752 + ... + 18848.

It is an arithmetic number, because the mean of its divisors is an integer number (820694).

Almost surely, 2^20075100 is an apocalyptic number.

20075100 is a gapful number since it is divisible by the number (20) 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 20075100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29544984).

20075100 is an abundant number, since it is smaller than the sum of its proper divisors (39014868).

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

20075100 is a wasteful number, since it uses less digits than its factorization.

20075100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 20075100 is about 4480.5245228656. The cubic root of 20075100 is about 271.7810918899.

The spelling of 20075100 in words is "twenty million, seventy-five thousand, one hundred".