101345280 has 96 divisors (see below), whose sum is σ = 324324000. Its totient is φ = 27017216.

The previous prime is 101345273. The next prime is 101345333. The reversal of 101345280 is 82543101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101345280.

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 7 ways as a sum of consecutive naturals, for example, 29071 + ... + 32369.

It is an arithmetic number, because the mean of its divisors is an integer number (3378375).

Almost surely, 2^101345280 is an apocalyptic number.

101345280 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 101345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162162000).

101345280 is an abundant number, since it is smaller than the sum of its proper divisors (222978720).

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

101345280 is an equidigital number, since it uses as much as digits as its factorization.

101345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 101345280 is about 10067.0392867019. The cubic root of 101345280 is about 466.2310311004.

Adding to 101345280 its reverse (82543101), we get a palindrome (183888381).

The spelling of 101345280 in words is "one hundred one million, three hundred forty-five thousand, two hundred eighty".