101593080 has 96 divisors (see below), whose sum is σ = 338279760. Its totient is φ = 26426880.

The previous prime is 101593069. The next prime is 101593081. The reversal of 101593080 is 80395101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101593081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11319 + ... + 18201.

Almost surely, 2^101593080 is an apocalyptic number.

101593080 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 101593080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169139880).

101593080 is an abundant number, since it is smaller than the sum of its proper divisors (236686680).

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

101593080 is a wasteful number, since it uses less digits than its factorization.

101593080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101593080 is about 10079.3392640589. The cubic root of 101593080 is about 466.6107166483.

The spelling of 101593080 in words is "one hundred one million, five hundred ninety-three thousand, eighty".