105355661504 has 28 divisors (see below), whose sum is σ = 220068571800. Its totient is φ = 49905312768.

The previous prime is 105355661497. The next prime is 105355661513. The reversal of 105355661504 is 405166553501.

It is a super-2 number, since 2×105355661504² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43319369 + ... + 43321800.

It is an arithmetic number, because the mean of its divisors is an integer number (7859591850).

Almost surely, 2^105355661504 is an apocalyptic number.

It is an amenable number.

105355661504 is an abundant number, since it is smaller than the sum of its proper divisors (114712910296).

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

105355661504 is an equidigital number, since it uses as much as digits as its factorization.

105355661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86641200 (or 86641190 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 41.

The spelling of 105355661504 in words is "one hundred five billion, three hundred fifty-five million, six hundred sixty-one thousand, five hundred four".