201100680 has 192 divisors, whose sum is σ = 730192320. Its totient is φ = 47577600.

The previous prime is 201100673. The next prime is 201100687. The reversal of 201100680 is 86001102.

It is an interprime number because it is at equal distance from previous prime (201100673) and next prime (201100687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169690 + ... + 170870.

It is an arithmetic number, because the mean of its divisors is an integer number (3803085).

Almost surely, 2^201100680 is an apocalyptic number.

201100680 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 201100680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365096160).

201100680 is an abundant number, since it is smaller than the sum of its proper divisors (529091640).

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

201100680 is a wasteful number, since it uses less digits than its factorization.

201100680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 201100680 is about 14180.9971440657. The cubic root of 201100680 is about 585.8743882318.

Adding to 201100680 its reverse (86001102), we get a palindrome (287101782).

The spelling of 201100680 in words is "two hundred one million, one hundred thousand, six hundred eighty".