101318880 has 144 divisors (see below), whose sum is σ = 345870000. Its totient is φ = 24920064.

The previous prime is 101318869. The next prime is 101318891. The reversal of 101318880 is 88813101.

It is an interprime number because it is at equal distance from previous prime (101318869) and next prime (101318891).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 80496 + ... + 81744.

It is an arithmetic number, because the mean of its divisors is an integer number (2401875).

Almost surely, 2^101318880 is an apocalyptic number.

101318880 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 101318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172935000).

101318880 is an abundant number, since it is smaller than the sum of its proper divisors (244551120).

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

101318880 is a wasteful number, since it uses less digits than its factorization.

101318880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 101318880 is about 10065.7279915563. The cubic root of 101318880 is about 466.1905438731.

The spelling of 101318880 in words is "one hundred one million, three hundred eighteen thousand, eight hundred eighty".