101884480 has 112 divisors (see below), whose sum is σ = 257495040. Its totient is φ = 38320128.

The previous prime is 101884477. The next prime is 101884481. The reversal of 101884480 is 84488101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101884481) 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, 802177 + ... + 802303.

Almost surely, 2^101884480 is an apocalyptic number.

101884480 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 101884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128747520).

101884480 is an abundant number, since it is smaller than the sum of its proper divisors (155610560).

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

101884480 is a wasteful number, since it uses less digits than its factorization.

101884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 101884480 is about 10093.7842259482. The cubic root of 101884480 is about 467.0564181602.

The spelling of 101884480 in words is "one hundred one million, eight hundred eighty-four thousand, four hundred eighty".