101305080 has 80 divisors (see below), whose sum is σ = 340508520. Its totient is φ = 27013824.

The previous prime is 101305021. The next prime is 101305111. The reversal of 101305080 is 80503101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12394 + ... + 18873.

Almost surely, 2^101305080 is an apocalyptic number.

101305080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101305080 is an abundant number, since it is smaller than the sum of its proper divisors (239203440).

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

101305080 is a wasteful number, since it uses less digits than its factorization.

101305080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31290 (or 31277 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101305080 is about 10065.0424738299. The cubic root of 101305080 is about 466.1693772962.

Adding to 101305080 its reverse (80503101), we get a palindrome (181808181).

The spelling of 101305080 in words is "one hundred one million, three hundred five thousand, eighty".