101230080 has 240 divisors, whose sum is σ = 377855280. Its totient is φ = 23052288.

The previous prime is 101230079. The next prime is 101230091. The reversal of 101230080 is 80032101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376186 + ... + 376454.

It is an arithmetic number, because the mean of its divisors is an integer number (1574397).

Almost surely, 2^101230080 is an apocalyptic number.

101230080 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 101230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188927640).

101230080 is an abundant number, since it is smaller than the sum of its proper divisors (276625200).

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

101230080 is an equidigital number, since it uses as much as digits as its factorization.

101230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101230080 is about 10061.3160173011. The cubic root of 101230080 is about 466.0543079271.

Adding to 101230080 its reverse (80032101), we get a palindrome (181262181).

It can be divided in two parts, 101 and 230080, that added together give a triangular number (230181 = T₆₇₈).

The spelling of 101230080 in words is "one hundred one million, two hundred thirty thousand, eighty".