105029407 has 8 divisors (see below), whose sum is σ = 121678496. Its totient is φ = 88791552.

The previous prime is 105029357. The next prime is 105029423. The reversal of 105029407 is 704920501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105029407 - 2¹¹ = 105027359 is a prime.

It is a super-2 number, since 2×105029407² = 22062352669543298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105029437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102258 + ... + 103279.

It is an arithmetic number, because the mean of its divisors is an integer number (15209812).

Almost surely, 2^105029407 is an apocalyptic number.

105029407 is a deficient number, since it is larger than the sum of its proper divisors (16649089).

105029407 is an equidigital number, since it uses as much as digits as its factorization.

105029407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205617.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105029407 is about 10248.3855801780. The cubic root of 105029407 is about 471.8134362149.

Adding to 105029407 its reverse (704920501), we get a palindrome (809949908).

The spelling of 105029407 in words is "one hundred five million, twenty-nine thousand, four hundred seven".