105104010 has 64 divisors (see below), whose sum is σ = 289681920. Its totient is φ = 24137280.

The previous prime is 105103987. The next prime is 105104117. The reversal of 105104010 is 10401501.

It is a happy number.

It is a super-2 number, since 2×105104010² = 22093705836160200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2112 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (4526280).

Almost surely, 2^105104010 is an apocalyptic number.

105104010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105104010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

105104010 is an abundant number, since it is smaller than the sum of its proper divisors (184577910).

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

105104010 is a wasteful number, since it uses less digits than its factorization.

105104010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16803.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 105104010 is about 10252.0246780819. The cubic root of 105104010 is about 471.9251203871.

Adding to 105104010 its reverse (10401501), we get a palindrome (115505511).

The spelling of 105104010 in words is "one hundred five million, one hundred four thousand, ten".