105897478569520 has 40 divisors (see below), whose sum is σ = 268594513828560. Its totient is φ = 38508174024960.

The previous prime is 105897478569517. The next prime is 105897478569523. The reversal of 105897478569520 is 25965874798501.

105897478569520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105897478569517) and next prime (105897478569523).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105897478569520² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105897478569523) 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, 60169021035 + ... + 60169022794.

It is an arithmetic number, because the mean of its divisors is an integer number (6714862845714).

Almost surely, 2^{105897478569520} is an apocalyptic number.

105897478569520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105897478569520 is an abundant number, since it is smaller than the sum of its proper divisors (162697035259040).

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

105897478569520 is a wasteful number, since it uses less digits than its factorization.

105897478569520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120338043853 (or 120338043847 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 76.

The spelling of 105897478569520 in words is "one hundred five trillion, eight hundred ninety-seven billion, four hundred seventy-eight million, five hundred sixty-nine thousand, five hundred twenty".