103354313216 has 160 divisors (see below), whose sum is σ = 268659376128. Its totient is φ = 38516797440.

The previous prime is 103354313123. The next prime is 103354313267. The reversal of 103354313216 is 612313453301.

It is a super-2 number, since 2×103354313216² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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, 849761 + ... + 963743.

Almost surely, 2^103354313216 is an apocalyptic number.

103354313216 is a gapful number since it is divisible by the number (16) 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 103354313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134329688064).

103354313216 is an abundant number, since it is smaller than the sum of its proper divisors (165305062912).

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

103354313216 is a wasteful number, since it uses less digits than its factorization.

103354313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114042 (or 114026 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 103354313216 its reverse (612313453301), we get a palindrome (715667766517).

The spelling of 103354313216 in words is "one hundred three billion, three hundred fifty-four million, three hundred thirteen thousand, two hundred sixteen".