105412104 has 160 divisors (see below), whose sum is σ = 357540480. Its totient is φ = 28325376.

The previous prime is 105412103. The next prime is 105412127. The reversal of 105412104 is 401214501.

It is a super-2 number, since 2×105412104² = 22223423339413632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105412103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76429 + ... + 77795.

It is an arithmetic number, because the mean of its divisors is an integer number (2234628).

Almost surely, 2^105412104 is an apocalyptic number.

105412104 is a gapful number since it is divisible by the number (14) 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 105412104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178770240).

105412104 is an abundant number, since it is smaller than the sum of its proper divisors (252128376).

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

105412104 is a wasteful number, since it uses less digits than its factorization.

105412104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105412104 is about 10267.0396901931. The cubic root of 105412104 is about 472.3857925031.

Adding to 105412104 its reverse (401214501), we get a palindrome (506626605).

The spelling of 105412104 in words is "one hundred five million, four hundred twelve thousand, one hundred four".