105158400 has 108 divisors (see below), whose sum is σ = 347107992. Its totient is φ = 28037120.

The previous prime is 105158393. The next prime is 105158419. The reversal of 105158400 is 4851501.

It is a super-2 number, since 2×105158400² = 22116578181120000, which 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 11 ways as a sum of consecutive naturals, for example, 16462 + ... + 21938.

Almost surely, 2^105158400 is an apocalyptic number.

105158400 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 105158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173553996).

105158400 is an abundant number, since it is smaller than the sum of its proper divisors (241949592).

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

105158400 is an equidigital number, since it uses as much as digits as its factorization.

105158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 105158400 is about 10254.6769817484. The cubic root of 105158400 is about 472.0065114490.

It can be divided in two parts, 10515 and 8400, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 105158400 in words is "one hundred five million, one hundred fifty-eight thousand, four hundred".