101345520 has 80 divisors (see below), whose sum is σ = 316042272. Its totient is φ = 26864640.

The previous prime is 101345513. The next prime is 101345527. The reversal of 101345520 is 25543101.

It is an interprime number because it is at equal distance from previous prime (101345513) and next prime (101345527).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101345527) 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, 42274 + ... + 44606.

Almost surely, 2^101345520 is an apocalyptic number.

101345520 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 101345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158021136).

101345520 is an abundant number, since it is smaller than the sum of its proper divisors (214696752).

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

101345520 is a wasteful number, since it uses less digits than its factorization.

101345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 101345520 is about 10067.0512067834. The cubic root of 101345520 is about 466.2313991338.

Adding to 101345520 its reverse (25543101), we get a palindrome (126888621).

The spelling of 101345520 in words is "one hundred one million, three hundred forty-five thousand, five hundred twenty".