103386214512 has 160 divisors (see below), whose sum is σ = 339438274560. Its totient is φ = 29513859840.

The previous prime is 103386214507. The next prime is 103386214513. The reversal of 103386214512 is 215412683301.

103386214512 is a `hidden beast` number, since 10 + 3 + 3 + 8 + 621 + 4 + 5 + 12 = 666.

103386214512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103386214512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103386214513) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3708658 + ... + 3736430.

It is an arithmetic number, because the mean of its divisors is an integer number (2121489216).

Almost surely, 2^103386214512 is an apocalyptic number.

103386214512 is a gapful number since it is divisible by the number (12) 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 103386214512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169719137280).

103386214512 is an abundant number, since it is smaller than the sum of its proper divisors (236052060048).

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

103386214512 is a wasteful number, since it uses less digits than its factorization.

103386214512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29028 (or 29016 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 103386214512 its reverse (215412683301), we get a palindrome (318798897813).

The spelling of 103386214512 in words is "one hundred three billion, three hundred eighty-six million, two hundred fourteen thousand, five hundred twelve".