101484636 has 72 divisors (see below), whose sum is σ = 267457680. Its totient is φ = 29905920.

The previous prime is 101484623. The next prime is 101484637. The reversal of 101484636 is 636484101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 101484597 and 101484606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101484637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52780 + ... + 54668.

It is an arithmetic number, because the mean of its divisors is an integer number (3714690).

Almost surely, 2^101484636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101484636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133728840).

101484636 is an abundant number, since it is smaller than the sum of its proper divisors (165973044).

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

101484636 is a wasteful number, since it uses less digits than its factorization.

101484636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 101484636 is about 10073.9583084307. The cubic root of 101484636 is about 466.4446320169. Note that the first 3 decimals are identical.

The spelling of 101484636 in words is "one hundred one million, four hundred eighty-four thousand, six hundred thirty-six".