103354144000 has 144 divisors (see below), whose sum is σ = 266348693520. Its totient is φ = 39915724800.

The previous prime is 103354143941. The next prime is 103354144037. The reversal of 103354144000 is 441453301.

It can be written as a sum of positive squares in 8 ways, for example, as 7174767616 + 96179376384 = 84704^2 + 310128^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872314 + ... + 983686.

It is an arithmetic number, because the mean of its divisors is an integer number (1849643705).

Almost surely, 2^103354144000 is an apocalyptic number.

103354144000 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 103354144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133174346760).

103354144000 is an abundant number, since it is smaller than the sum of its proper divisors (162994549520).

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

103354144000 is an equidigital number, since it uses as much as digits as its factorization.

103354144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111433 (or 111409 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 103354144000 its reverse (441453301), we get a palindrome (103795597301).

The spelling of 103354144000 in words is "one hundred three billion, three hundred fifty-four million, one hundred forty-four thousand".