101312080 has 40 divisors (see below), whose sum is σ = 243678600. Its totient is φ = 39126528.

The previous prime is 101312063. The next prime is 101312093. The reversal of 101312080 is 80213101.

It can be written as a sum of positive squares in 4 ways, for example, as 8690704 + 92621376 = 2948^2 + 9624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 19515 + ... + 24154.

It is an arithmetic number, because the mean of its divisors is an integer number (6091965).

Almost surely, 2^101312080 is an apocalyptic number.

101312080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101312080 is an abundant number, since it is smaller than the sum of its proper divisors (142366520).

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

101312080 is a wasteful number, since it uses less digits than its factorization.

101312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43711 (or 43705 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101312080 is about 10065.3902060477. The cubic root of 101312080 is about 466.1801142059.

Adding to 101312080 its reverse (80213101), we get a palindrome (181525181).

The spelling of 101312080 in words is "one hundred one million, three hundred twelve thousand, eighty".