101185480 has 64 divisors (see below), whose sum is σ = 253108800. Its totient is φ = 36092160.

The previous prime is 101185471. The next prime is 101185481. The reversal of 101185480 is 84581101.

It is not an unprimeable number, because it can be changed into a prime (101185481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21151 + ... + 25489.

It is an arithmetic number, because the mean of its divisors is an integer number (3954825).

Almost surely, 2^101185480 is an apocalyptic number.

101185480 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 101185480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126554400).

101185480 is an abundant number, since it is smaller than the sum of its proper divisors (151923320).

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

101185480 is a wasteful number, since it uses less digits than its factorization.

101185480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 101185480 is about 10059.0993632631. The cubic root of 101185480 is about 465.9858530583.

It can be divided in two parts, 101 and 185480, that added together give a palindrome (185581).

The spelling of 101185480 in words is "one hundred one million, one hundred eighty-five thousand, four hundred eighty".