105487008 has 96 divisors (see below), whose sum is σ = 304238592. Its totient is φ = 31737600.

The previous prime is 105487001. The next prime is 105487033. The reversal of 105487008 is 800784501.

It is a happy number.

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

It is a super-2 number, since 2×105487008² = 22255017713584128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 105487008.

It is not an unprimeable number, because it can be changed into a prime (105487001) 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 15 ways as a sum of consecutive naturals, for example, 201435 + ... + 201957.

It is an arithmetic number, because the mean of its divisors is an integer number (3169152).

Almost surely, 2^105487008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105487008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152119296).

105487008 is an abundant number, since it is smaller than the sum of its proper divisors (198751584).

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

105487008 is a wasteful number, since it uses less digits than its factorization.

105487008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 105487008 is about 10270.6868319504. The cubic root of 105487008 is about 472.4976557091.

The spelling of 105487008 in words is "one hundred five million, four hundred eighty-seven thousand, eight".