20456100 has 216 divisors, whose sum is σ = 77995008. Its totient is φ = 4377600.

The previous prime is 20456087. The next prime is 20456113. The reversal of 20456100 is 165402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20456087) and next prime (20456113).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107005 + ... + 107195.

It is an arithmetic number, because the mean of its divisors is an integer number (361088).

Almost surely, 2^20456100 is an apocalyptic number.

20456100 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 20456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

20456100 is an abundant number, since it is smaller than the sum of its proper divisors (57538908).

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

20456100 is a wasteful number, since it uses less digits than its factorization.

20456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20456100 is about 4522.8420268676. The cubic root of 20456100 is about 273.4896818507.

The spelling of 20456100 in words is "twenty million, four hundred fifty-six thousand, one hundred".