101724480 has 504 divisors, whose sum is σ = 435071520. Its totient is φ = 21565440.

The previous prime is 101724479. The next prime is 101724517. The reversal of 101724480 is 84427101.

101724480 is a `hidden beast` number, since 10 + 172 + 4 + 480 = 666.

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 71 ways as a sum of consecutive naturals, for example, 5353911 + ... + 5353929.

Almost surely, 2^101724480 is an apocalyptic number.

101724480 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 101724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217535760).

101724480 is an abundant number, since it is smaller than the sum of its proper divisors (333347040).

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

101724480 is a wasteful number, since it uses less digits than its factorization.

101724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 101724480 is about 10085.8554421526. The cubic root of 101724480 is about 466.8118006634.

The spelling of 101724480 in words is "one hundred one million, seven hundred twenty-four thousand, four hundred eighty".