105034721 has 16 divisors (see below), whose sum is σ = 126603648. Its totient is φ = 85958400.

The previous prime is 105034703. The next prime is 105034739. The reversal of 105034721 is 127430501.

It is an interprime number because it is at equal distance from previous prime (105034703) and next prime (105034739).

It is not a de Polignac number, because 105034721 - 2¹⁰ = 105033697 is a prime.

It is a super-2 number, since 2×105034721² = 22064585231095682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105034751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7910 + ... + 16511.

It is an arithmetic number, because the mean of its divisors is an integer number (7912728).

Almost surely, 2^105034721 is an apocalyptic number.

105034721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105034721 is a deficient number, since it is larger than the sum of its proper divisors (21568927).

105034721 is a wasteful number, since it uses less digits than its factorization.

105034721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24472.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 105034721 is about 10248.6448372456. The cubic root of 105034721 is about 471.8213932700.

The spelling of 105034721 in words is "one hundred five million, thirty-four thousand, seven hundred twenty-one".