105259680 has 144 divisors (see below), whose sum is σ = 364893984. Its totient is φ = 27624960.

The previous prime is 105259667. The next prime is 105259711. The reversal of 105259680 is 86952501.

It is a happy number.

105259680 is a `hidden beast` number, since 10 + 52 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105259680² = 22159200467404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95935 + ... + 97025.

It is an arithmetic number, because the mean of its divisors is an integer number (2533986).

Almost surely, 2^105259680 is an apocalyptic number.

105259680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182446992).

105259680 is an abundant number, since it is smaller than the sum of its proper divisors (259634304).

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

105259680 is a wasteful number, since it uses less digits than its factorization.

105259680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 105259680 is about 10259.6140278278. The cubic root of 105259680 is about 472.1579955607.

It can be divided in two parts, 1052596 and 80, that added together give a square (1052676 = 1026²).

The spelling of 105259680 in words is "one hundred five million, two hundred fifty-nine thousand, six hundred eighty".