105251029 has 8 divisors (see below), whose sum is σ = 120015000. Its totient is φ = 91439616.

The previous prime is 105251021. The next prime is 105251087. The reversal of 105251029 is 920152501.

It can be written as a sum of positive squares in 4 ways, for example, as 5750404 + 99500625 = 2398^2 + 9975^2 .

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 105251029 - 2³ = 105251021 is a prime.

It is a super-2 number, since 2×105251029² = 22155558211117682, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105250994 and 105251012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105251021) 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, 237904 + ... + 238345.

It is an arithmetic number, because the mean of its divisors is an integer number (15001875).

Almost surely, 2^105251029 is an apocalyptic number.

It is an amenable number.

105251029 is a deficient number, since it is larger than the sum of its proper divisors (14763971).

105251029 is a wasteful number, since it uses less digits than its factorization.

105251029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476279.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105251029 is about 10259.1924146104. The cubic root of 105251029 is about 472.1450600894.

The spelling of 105251029 in words is "one hundred five million, two hundred fifty-one thousand, twenty-nine".