103353261414 has 256 divisors, whose sum is σ = 244099215360. Its totient is φ = 28933632000.

The previous prime is 103353261409. The next prime is 103353261419. The reversal of 103353261414 is 414162353301.

It is an interprime number because it is at equal distance from previous prime (103353261409) and next prime (103353261419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103353261419) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 571012404 + ... + 571012584.

It is an arithmetic number, because the mean of its divisors is an integer number (953512560).

Almost surely, 2^103353261414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103353261414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122049607680).

103353261414 is an abundant number, since it is smaller than the sum of its proper divisors (140745953946).

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

103353261414 is a wasteful number, since it uses less digits than its factorization.

103353261414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 103353261414 in words is "one hundred three billion, three hundred fifty-three million, two hundred sixty-one thousand, four hundred fourteen".