105462640 has 20 divisors (see below), whose sum is σ = 245200824. Its totient is φ = 42185024.

The previous prime is 105462629. The next prime is 105462641. The reversal of 105462640 is 46264501.

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

It is a super-2 number, since 2×105462640² = 22244736871539200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105462599 and 105462608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105462641) 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 3 ways as a sum of consecutive naturals, for example, 659062 + ... + 659221.

Almost surely, 2^105462640 is an apocalyptic number.

105462640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105462640 is an abundant number, since it is smaller than the sum of its proper divisors (139738184).

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

105462640 is a wasteful number, since it uses less digits than its factorization.

105462640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318296 (or 1318290 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 105462640 is about 10269.5004747066. The cubic root of 105462640 is about 472.4612698394.

The spelling of 105462640 in words is "one hundred five million, four hundred sixty-two thousand, six hundred forty".