105134104109520 has 160 divisors (see below), whose sum is σ = 364129292567040. Its totient is φ = 27880867284480.

The previous prime is 105134104109483. The next prime is 105134104109533. The reversal of 105134104109520 is 25901401431501.

105134104109520 is a `hidden beast` number, since 1 + 0 + 5 + 13 + 4 + 10 + 4 + 109 + 520 = 666.

It is a super-2 number, since 2×105134104109520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 134065384 + ... + 134847303.

It is an arithmetic number, because the mean of its divisors is an integer number (2275808078544).

Almost surely, 2^{105134104109520} is an apocalyptic number.

105134104109520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105134104109520 is an abundant number, since it is smaller than the sum of its proper divisors (258995188457520).

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

105134104109520 is a wasteful number, since it uses less digits than its factorization.

105134104109520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268912890 (or 268912878 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 105134104109520 in words is "one hundred five trillion, one hundred thirty-four billion, one hundred four million, one hundred nine thousand, five hundred twenty".