105403400 has 96 divisors (see below), whose sum is σ = 268677000. Its totient is φ = 38277120.

The previous prime is 105403391. The next prime is 105403409. The reversal of 105403400 is 4304501.

It is an interprime number because it is at equal distance from previous prime (105403391) and next prime (105403409).

It can be written as a sum of positive squares in 12 ways, for example, as 15570916 + 89832484 = 3946^2 + 9478^2 .

It is a super-2 number, since 2×105403400² = 22219753463120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (105403409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98066 + ... + 99134.

Almost surely, 2^105403400 is an apocalyptic number.

105403400 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 105403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134338500).

105403400 is an abundant number, since it is smaller than the sum of its proper divisors (163273600).

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

105403400 is a wasteful number, since it uses less digits than its factorization.

105403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 105403400 is about 10266.6158007398. The cubic root of 105403400 is about 472.3727903305.

Adding to 105403400 its reverse (4304501), we get a palindrome (109707901).

The spelling of 105403400 in words is "one hundred five million, four hundred three thousand, four hundred".