105353837643120 has 80 divisors (see below), whose sum is σ = 356287523674752. Its totient is φ = 25540324276480.

The previous prime is 105353837643079. The next prime is 105353837643121. The reversal of 105353837643120 is 21346738353501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105353837643120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105353837643121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19953375702 + ... + 19953380981.

Almost surely, 2^{105353837643120} is an apocalyptic number.

105353837643120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105353837643120 is an abundant number, since it is smaller than the sum of its proper divisors (250933686031632).

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

105353837643120 is a wasteful number, since it uses less digits than its factorization.

105353837643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39906756710 (or 39906756704 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 105353837643120 in words is "one hundred five trillion, three hundred fifty-three billion, eight hundred thirty-seven million, six hundred forty-three thousand, one hundred twenty".