105190929 has 12 divisors (see below), whose sum is σ = 153053316. Its totient is φ = 69614592.

The previous prime is 105190927. The next prime is 105190931. The reversal of 105190929 is 929091501.

It is an interprime number because it is at equal distance from previous prime (105190927) and next prime (105190931).

It can be written as a sum of positive squares in 2 ways, for example, as 91240704 + 13950225 = 9552^2 + 3735^2 .

It is not a de Polignac number, because 105190929 - 2¹ = 105190927 is a prime.

It is a super-2 number, since 2×105190929² = 22130263087766082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105190893 and 105190902.

It is not an unprimeable number, because it can be changed into a prime (105190927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41424 + ... + 43889.

It is an arithmetic number, because the mean of its divisors is an integer number (12754443).

Almost surely, 2^105190929 is an apocalyptic number.

It is an amenable number.

105190929 is a deficient number, since it is larger than the sum of its proper divisors (47862387).

105190929 is a wasteful number, since it uses less digits than its factorization.

105190929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85456 (or 85453 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 105190929 is about 10256.2629158968. The cubic root of 105190929 is about 472.0551755498.

The spelling of 105190929 in words is "one hundred five million, one hundred ninety thousand, nine hundred twenty-nine".