101306880 has 120 divisors (see below), whose sum is σ = 350934012. Its totient is φ = 27009024.

The previous prime is 101306869. The next prime is 101306899. The reversal of 101306880 is 88603101.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 665856 = 10032^2 + 816^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20842 + ... + 25238.

Almost surely, 2^101306880 is an apocalyptic number.

101306880 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 101306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175467006).

101306880 is an abundant number, since it is smaller than the sum of its proper divisors (249627132).

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

101306880 is an equidigital number, since it uses as much as digits as its factorization.

101306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101306880 is about 10065.1318918333. The cubic root of 101306880 is about 466.1721382630.

Adding to 101306880 its reverse (88603101), we get a palindrome (189909981).

The spelling of 101306880 in words is "one hundred one million, three hundred six thousand, eight hundred eighty".