105197935598448 has 160 divisors (see below), whose sum is σ = 342312308943360. Its totient is φ = 27042446868480.

The previous prime is 105197935598411. The next prime is 105197935598453. The reversal of 105197935598448 is 844895539791501.

It is a super-2 number, since 2×105197935598448² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146356153 + ... + 147073176.

It is an arithmetic number, because the mean of its divisors is an integer number (2139451930896).

Almost surely, 2^{105197935598448} is an apocalyptic number.

It is an amenable number.

105197935598448 is an abundant number, since it is smaller than the sum of its proper divisors (237114373344912).

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

105197935598448 is a wasteful number, since it uses less digits than its factorization.

105197935598448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293429455 (or 293429449 counting only the distinct ones).

The product of its (nonzero) digits is 1959552000, while the sum is 78.

The spelling of 105197935598448 in words is "one hundred five trillion, one hundred ninety-seven billion, nine hundred thirty-five million, five hundred ninety-eight thousand, four hundred forty-eight".