105490080 has 96 divisors (see below), whose sum is σ = 369230400. Its totient is φ = 28129536.

The previous prime is 105490079. The next prime is 105490103. The reversal of 105490080 is 80094501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105490080² = 22256313956812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7890 + ... + 16529.

It is an arithmetic number, because the mean of its divisors is an integer number (3846150).

Almost surely, 2^105490080 is an apocalyptic number.

105490080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105490080 is an abundant number, since it is smaller than the sum of its proper divisors (263740320).

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

105490080 is a wasteful number, since it uses less digits than its factorization.

105490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24443 (or 24429 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105490080 is about 10270.8363826906. The cubic root of 105490080 is about 472.5022423678.

The spelling of 105490080 in words is "one hundred five million, four hundred ninety thousand, eighty".