105513400 has 48 divisors (see below), whose sum is σ = 251044200. Its totient is φ = 41220480.

The previous prime is 105513391. The next prime is 105513413. The reversal of 105513400 is 4315501.

It is a super-2 number, since 2×105513400² = 22266155159120000, which contains 22 as substring.

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, 2466 + ... + 14734.

Almost surely, 2^105513400 is an apocalyptic number.

105513400 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 105513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125522100).

105513400 is an abundant number, since it is smaller than the sum of its proper divisors (145530800).

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

105513400 is a wasteful number, since it uses less digits than its factorization.

105513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12328 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105513400 is about 10271.9715731694. The cubic root of 105513400 is about 472.5370574595.

Adding to 105513400 its reverse (4315501), we get a palindrome (109828901).

The spelling of 105513400 in words is "one hundred five million, five hundred thirteen thousand, four hundred".