105049520 has 40 divisors (see below), whose sum is σ = 244765584. Its totient is φ = 41929472.

The previous prime is 105049519. The next prime is 105049523. The reversal of 105049520 is 25940501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105049520² = 22070803304460800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105049520.

It is not an unprimeable number, because it can be changed into a prime (105049523) 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 7 ways as a sum of consecutive naturals, for example, 45842 + ... + 48078.

Almost surely, 2^105049520 is an apocalyptic number.

105049520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105049520 is an abundant number, since it is smaller than the sum of its proper divisors (139716064).

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

105049520 is a wasteful number, since it uses less digits than its factorization.

105049520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105049520 is about 10249.3668097107. The cubic root of 105049520 is about 471.8435515202.

The spelling of 105049520 in words is "one hundred five million, forty-nine thousand, five hundred twenty".