101412520 has 96 divisors (see below), whose sum is σ = 261999360. Its totient is φ = 35235200.

The previous prime is 101412517. The next prime is 101412539. The reversal of 101412520 is 25214101.

It is a junction number, because it is equal to n+sod(n) for n = 101412494 and 101412503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110865 + ... + 111775.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2^101412520 is an apocalyptic number.

101412520 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 101412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130999680).

101412520 is an abundant number, since it is smaller than the sum of its proper divisors (160586840).

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

101412520 is a wasteful number, since it uses less digits than its factorization.

101412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 101412520 is about 10070.3783444318. The cubic root of 101412520 is about 466.3341190913.

Adding to 101412520 its reverse (25214101), we get a palindrome (126626621).

The spelling of 101412520 in words is "one hundred one million, four hundred twelve thousand, five hundred twenty".