103010114400 has 288 divisors, whose sum is σ = 341613635328. Its totient is φ = 26954188800.

The previous prime is 103010114377. The next prime is 103010114407. The reversal of 103010114400 is 4411010301.

It is a super-2 number, since 2×103010114400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103010114400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103010114407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108774727 + ... + 108775673.

It is an arithmetic number, because the mean of its divisors is an integer number (1186158456).

Almost surely, 2^103010114400 is an apocalyptic number.

103010114400 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 103010114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170806817664).

103010114400 is an abundant number, since it is smaller than the sum of its proper divisors (238603520928).

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

103010114400 is a wasteful number, since it uses less digits than its factorization.

103010114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 103010114400 its reverse (4411010301), we get a palindrome (107421124701).

The spelling of 103010114400 in words is "one hundred three billion, ten million, one hundred fourteen thousand, four hundred".