105429977 has 12 divisors (see below), whose sum is σ = 111561216. Its totient is φ = 99486960.

The previous prime is 105429967. The next prime is 105430007. The reversal of 105429977 is 779924501.

It is not a de Polignac number, because 105429977 - 2¹⁴ = 105413593 is a prime.

It is a super-2 number, since 2×105429977² = 22230960100441058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105429967) 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, 391799 + ... + 392067.

It is an arithmetic number, because the mean of its divisors is an integer number (9296768).

Almost surely, 2^105429977 is an apocalyptic number.

It is an amenable number.

105429977 is a deficient number, since it is larger than the sum of its proper divisors (6131239).

105429977 is an frugal number, since it uses more digits than its factorization.

105429977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The square root of 105429977 is about 10267.9100599879. The cubic root of 105429977 is about 472.4124892290.

The spelling of 105429977 in words is "one hundred five million, four hundred twenty-nine thousand, nine hundred seventy-seven".