101818080 has 576 divisors, whose sum is σ = 458498880. Its totient is φ = 20901888.

The previous prime is 101818039. The next prime is 101818103. The reversal of 101818080 is 80818101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751822 + ... + 2751858.

It is an arithmetic number, because the mean of its divisors is an integer number (796005).

Almost surely, 2^101818080 is an apocalyptic number.

101818080 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 101818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229249440).

101818080 is an abundant number, since it is smaller than the sum of its proper divisors (356680800).

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

101818080 is a wasteful number, since it uses less digits than its factorization.

101818080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 101818080 is about 10090.4945369392. The cubic root of 101818080 is about 466.9549330084.

The spelling of 101818080 in words is "one hundred one million, eight hundred eighteen thousand, eighty".