105010704 has 60 divisors (see below), whose sum is σ = 298052352. Its totient is φ = 34507200.

The previous prime is 105010681. The next prime is 105010723. The reversal of 105010704 is 407010501.

105010704 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×105010704² = 22054495909151232, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5089 + ... + 15359.

Almost surely, 2^105010704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105010704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149026176).

105010704 is an abundant number, since it is smaller than the sum of its proper divisors (193041648).

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

105010704 is a wasteful number, since it uses less digits than its factorization.

105010704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105010704 is about 10247.4730543681. The cubic root of 105010704 is about 471.7854286604.

The spelling of 105010704 in words is "one hundred five million, ten thousand, seven hundred four".