101997280 has 192 divisors, whose sum is σ = 318753792. Its totient is φ = 29859840.

The previous prime is 101997257. The next prime is 101997317. The reversal of 101997280 is 82799101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209197 + ... + 209683.

It is an arithmetic number, because the mean of its divisors is an integer number (1660176).

Almost surely, 2^101997280 is an apocalyptic number.

101997280 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 101997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159376896).

101997280 is an abundant number, since it is smaller than the sum of its proper divisors (216756512).

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

101997280 is a wasteful number, since it uses less digits than its factorization.

101997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The square root of 101997280 is about 10099.3702773985. The cubic root of 101997280 is about 467.2287196175.

The spelling of 101997280 in words is "one hundred one million, nine hundred ninety-seven thousand, two hundred eighty".