105853268400 has 360 divisors, whose sum is σ = 380665969152. Its totient is φ = 25113792000.

The previous prime is 105853268383. The next prime is 105853268401. The reversal of 105853268400 is 4862358501.

It is a super-2 number, since 2×105853268400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105853268401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6816645 + ... + 6832155.

Almost surely, 2^105853268400 is an apocalyptic number.

105853268400 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 105853268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190332984576).

105853268400 is an abundant number, since it is smaller than the sum of its proper divisors (274812700752).

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

105853268400 is a wasteful number, since it uses less digits than its factorization.

105853268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15601 (or 15579 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 105853268400 in words is "one hundred five billion, eight hundred fifty-three million, two hundred sixty-eight thousand, four hundred".