105253130400 has 576 divisors, whose sum is σ = 386221530240. Its totient is φ = 24673075200.

The previous prime is 105253130377. The next prime is 105253130407. The reversal of 105253130400 is 4031352501.

It is a super-2 number, since 2×105253130400² (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 not an unprimeable number, because it can be changed into a prime (105253130407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270573406 + ... + 270573794.

It is an arithmetic number, because the mean of its divisors is an integer number (670523490).

Almost surely, 2^105253130400 is an apocalyptic number.

105253130400 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 105253130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193110765120).

105253130400 is an abundant number, since it is smaller than the sum of its proper divisors (280968399840).

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

105253130400 is a wasteful number, since it uses less digits than its factorization.

105253130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 105253130400 its reverse (4031352501), we get a palindrome (109284482901).

The spelling of 105253130400 in words is "one hundred five billion, two hundred fifty-three million, one hundred thirty thousand, four hundred".