105929814 has 32 divisors (see below), whose sum is σ = 220300416. Its totient is φ = 33929280.

The previous prime is 105929801. The next prime is 105929827. The reversal of 105929814 is 418929501.

It is an interprime number because it is at equal distance from previous prime (105929801) and next prime (105929827).

It is a super-2 number, since 2×105929814² = 22442250988149192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13269 + ... + 19695.

It is an arithmetic number, because the mean of its divisors is an integer number (6884388).

Almost surely, 2^105929814 is an apocalyptic number.

105929814 is an abundant number, since it is smaller than the sum of its proper divisors (114370602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105929814 is a wasteful number, since it uses less digits than its factorization.

105929814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6540.

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 105929814 is about 10292.2210430985. The cubic root of 105929814 is about 473.1578719932.

The spelling of 105929814 in words is "one hundred five million, nine hundred twenty-nine thousand, eight hundred fourteen".