105269680 has 20 divisors (see below), whose sum is σ = 244752192. Its totient is φ = 42107840.

The previous prime is 105269639. The next prime is 105269687. The reversal of 105269680 is 86962501.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105269680² = 22163411054604800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105269687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657856 + ... + 658015.

Almost surely, 2^105269680 is an apocalyptic number.

105269680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105269680 is an abundant number, since it is smaller than the sum of its proper divisors (139482512).

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

105269680 is a wasteful number, since it uses less digits than its factorization.

105269680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315884 (or 1315878 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 105269680 is about 10260.1013640217. The cubic root of 105269680 is about 472.1729472512.

The spelling of 105269680 in words is "one hundred five million, two hundred sixty-nine thousand, six hundred eighty".