101793280 has 80 divisors (see below), whose sum is σ = 258532560. Its totient is φ = 38305792.

The previous prime is 101793271. The next prime is 101793281. The reversal of 101793280 is 82397101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101793281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42351 + ... + 44689.

It is an arithmetic number, because the mean of its divisors is an integer number (3231657).

Almost surely, 2^101793280 is an apocalyptic number.

101793280 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 101793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129266280).

101793280 is an abundant number, since it is smaller than the sum of its proper divisors (156739280).

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

101793280 is an equidigital number, since it uses as much as digits as its factorization.

101793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 101793280 is about 10089.2655827865. The cubic root of 101793280 is about 466.9170175986.

The spelling of 101793280 in words is "one hundred one million, seven hundred ninety-three thousand, two hundred eighty".