105261429 has 16 divisors (see below), whose sum is σ = 172737152. Its totient is φ = 55522368.

The previous prime is 105261419. The next prime is 105261451. The reversal of 105261429 is 924162501.

105261429 = T₃₉ + T₄₀ + ... + T₈₅₇.

It is not a de Polignac number, because 105261429 - 2⁹ = 105260917 is a prime.

It is a super-2 number, since 2×105261429² = 22159936870244082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105261396 and 105261405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105261419) 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, 192514 + ... + 193059.

It is an arithmetic number, because the mean of its divisors is an integer number (10796072).

Almost surely, 2^105261429 is an apocalyptic number.

It is an amenable number.

105261429 is a deficient number, since it is larger than the sum of its proper divisors (67475723).

105261429 is a wasteful number, since it uses less digits than its factorization.

105261429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385596.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105261429 is about 10259.6992645984. The cubic root of 105261429 is about 472.1606106797.

It can be divided in two parts, 1052 and 61429, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 105261429 in words is "one hundred five million, two hundred sixty-one thousand, four hundred twenty-nine".