105413700 has 216 divisors, whose sum is σ = 363351744. Its totient is φ = 23520000.

The previous prime is 105413687. The next prime is 105413717. The reversal of 105413700 is 7314501.

It is a super-2 number, since 2×105413700² = 22224096295380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1043650 + ... + 1043750.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 2^105413700 is an apocalyptic number.

105413700 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 105413700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181675872).

105413700 is an abundant number, since it is smaller than the sum of its proper divisors (257938044).

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

105413700 is a wasteful number, since it uses less digits than its factorization.

105413700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105413700 is about 10267.1174143476. The cubic root of 105413700 is about 472.3881765554.

It can be divided in two parts, 10541 and 3700, that added together give a palindrome (14241).

The spelling of 105413700 in words is "one hundred five million, four hundred thirteen thousand, seven hundred".