101812480 has 144 divisors (see below), whose sum is σ = 304343424. Its totient is φ = 31703040.

The previous prime is 101812429. The next prime is 101812483. The reversal of 101812480 is 84218101.

It is not an unprimeable number, because it can be changed into a prime (101812483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98044 + ... + 99076.

It is an arithmetic number, because the mean of its divisors is an integer number (2113496).

Almost surely, 2^101812480 is an apocalyptic number.

101812480 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 101812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152171712).

101812480 is an abundant number, since it is smaller than the sum of its proper divisors (202530944).

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

101812480 is a wasteful number, since it uses less digits than its factorization.

101812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 101812480 is about 10090.2170442464. The cubic root of 101812480 is about 466.9463720025.

The spelling of 101812480 in words is "one hundred one million, eight hundred twelve thousand, four hundred eighty".