103412114304 has 256 divisors, whose sum is σ = 293148979200. Its totient is φ = 32245391360.

The previous prime is 103412114293. The next prime is 103412114327. The reversal of 103412114304 is 403411214301.

It is a super-2 number, since 2×103412114304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48986209 + ... + 48988319.

It is an arithmetic number, because the mean of its divisors is an integer number (1145113200).

Almost surely, 2^103412114304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103412114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146574489600).

103412114304 is an abundant number, since it is smaller than the sum of its proper divisors (189736864896).

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

103412114304 is a wasteful number, since it uses less digits than its factorization.

103412114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103412114304 its reverse (403411214301), we get a palindrome (506823328605).

The spelling of 103412114304 in words is "one hundred three billion, four hundred twelve million, one hundred fourteen thousand, three hundred four".