105413000 has 192 divisors, whose sum is σ = 316068480. Its totient is φ = 31968000.

The previous prime is 105412997. The next prime is 105413003. The reversal of 105413000 is 314501.

It is an interprime number because it is at equal distance from previous prime (105412997) and next prime (105413003).

It is a super-2 number, since 2×105413000² = 22223801138000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105413003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2848982 + ... + 2849018.

It is an arithmetic number, because the mean of its divisors is an integer number (1646190).

Almost surely, 2^105413000 is an apocalyptic number.

105413000 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 105413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158034240).

105413000 is an abundant number, since it is smaller than the sum of its proper divisors (210655480).

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

105413000 is a wasteful number, since it uses less digits than its factorization.

105413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 105413000 is about 10267.0833248786. The cubic root of 105413000 is about 472.3871309214.

Adding to 105413000 its reverse (314501), we get a palindrome (105727501).

The spelling of 105413000 in words is "one hundred five million, four hundred thirteen thousand".