20276100 has 108 divisors (see below), whose sum is σ = 68482596. Its totient is φ = 4988160.

The previous prime is 20276089. The next prime is 20276107. The reversal of 20276100 is 167202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2585664 + 17690436 = 1608^2 + 4206^2 .

It is a super-2 number, since 2×20276100² = 822240462420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20276107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10834 + ... + 12566.

Almost surely, 2^20276100 is an apocalyptic number.

20276100 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 20276100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34241298).

20276100 is an abundant number, since it is smaller than the sum of its proper divisors (48206496).

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

20276100 is a wasteful number, since it uses less digits than its factorization.

20276100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20276100 is about 4502.8990661573. The cubic root of 20276100 is about 272.6851419768.

The spelling of 20276100 in words is "twenty million, two hundred seventy-six thousand, one hundred".