101300520 has 64 divisors (see below), whose sum is σ = 304974720. Its totient is φ = 26918144.

The previous prime is 101300513. The next prime is 101300527. The reversal of 101300520 is 25003101.

It is an interprime number because it is at equal distance from previous prime (101300513) and next prime (101300527).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101300496 and 101300505.

It is not an unprimeable number, because it can be changed into a prime (101300527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36709 + ... + 39371.

It is an arithmetic number, because the mean of its divisors is an integer number (4765230).

Almost surely, 2^101300520 is an apocalyptic number.

101300520 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 101300520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152487360).

101300520 is an abundant number, since it is smaller than the sum of its proper divisors (203674200).

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

101300520 is a wasteful number, since it uses less digits than its factorization.

101300520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 101300520 is about 10064.8159446659. The cubic root of 101300520 is about 466.1623827004.

Adding to 101300520 its reverse (25003101), we get a palindrome (126303621).

The spelling of 101300520 in words is "one hundred one million, three hundred thousand, five hundred twenty".