105235513248 has 96 divisors (see below), whose sum is σ = 277102256256. Its totient is φ = 34969632768.

The previous prime is 105235513247. The next prime is 105235513283. The reversal of 105235513248 is 842315532501.

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

It is a super-2 number, since 2×105235513248² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105235513247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63508836 + ... + 63510492.

It is an arithmetic number, because the mean of its divisors is an integer number (2886481836).

Almost surely, 2^105235513248 is an apocalyptic number.

It is an amenable number.

105235513248 is an abundant number, since it is smaller than the sum of its proper divisors (171866743008).

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

105235513248 is a wasteful number, since it uses less digits than its factorization.

105235513248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 105235513248 in words is "one hundred five billion, two hundred thirty-five million, five hundred thirteen thousand, two hundred forty-eight".