105505248961 has 8 divisors (see below), whose sum is σ = 121003498304. Its totient is φ = 90113517360.

The previous prime is 105505248943. The next prime is 105505248967. The reversal of 105505248961 is 169842505501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105505248961 - 2⁵ = 105505248929 is a prime.

It is a super-2 number, since 2×105505248961² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105505248967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26627310 + ... + 26631271.

It is an arithmetic number, because the mean of its divisors is an integer number (15125437288).

Almost surely, 2^105505248961 is an apocalyptic number.

It is an amenable number.

105505248961 is a deficient number, since it is larger than the sum of its proper divisors (15498249343).

105505248961 is an equidigital number, since it uses as much as digits as its factorization.

105505248961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53258871.

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 105505248961 in words is "one hundred five billion, five hundred five million, two hundred forty-eight thousand, nine hundred sixty-one".