103114213440 has 224 divisors, whose sum is σ = 374603491584. Its totient is φ = 23540858880.

The previous prime is 103114213429. The next prime is 103114213463. The reversal of 103114213440 is 44312411301.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 103114213440.

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, 5911612 + ... + 5929028.

It is an arithmetic number, because the mean of its divisors is an integer number (1672337016).

Almost surely, 2^103114213440 is an apocalyptic number.

103114213440 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 103114213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187301745792).

103114213440 is an abundant number, since it is smaller than the sum of its proper divisors (271489278144).

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

103114213440 is a wasteful number, since it uses less digits than its factorization.

103114213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18325 (or 18315 counting only the distinct ones).

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

Adding to 103114213440 its reverse (44312411301), we get a palindrome (147426624741).

The spelling of 103114213440 in words is "one hundred three billion, one hundred fourteen million, two hundred thirteen thousand, four hundred forty".