105103334400 has 264 divisors, whose sum is σ = 347967728640. Its totient is φ = 27979530240.

The previous prime is 105103334389. The next prime is 105103334431. The reversal of 105103334400 is 4433301501.

It is a happy number.

It is a super-2 number, since 2×105103334400² (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 23 ways as a sum of consecutive naturals, for example, 83480971 + ... + 83482229.

Almost surely, 2^105103334400 is an apocalyptic number.

105103334400 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 105103334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173983864320).

105103334400 is an abundant number, since it is smaller than the sum of its proper divisors (242864394240).

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

105103334400 is a wasteful number, since it uses less digits than its factorization.

105103334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 105103334400 its reverse (4433301501), we get a palindrome (109536635901).

The spelling of 105103334400 in words is "one hundred five billion, one hundred three million, three hundred thirty-four thousand, four hundred".