105233200019136 has 252 divisors, whose sum is σ = 356201046139536. Its totient is φ = 29096736261120.

The previous prime is 105233200019113. The next prime is 105233200019201. The reversal of 105233200019136 is 631910002332501.

105233200019136 is a `hidden beast` number, since 1 + 0 + 5 + 233 + 200 + 0 + 191 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×105233200019136² (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 self number, because there is not a number n which added to its sum of digits gives 105233200019136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9704595 + ... + 17454098.

Almost surely, 2^{105233200019136} is an apocalyptic number.

105233200019136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105233200019136 is an abundant number, since it is smaller than the sum of its proper divisors (250967846120400).

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

105233200019136 is a wasteful number, since it uses less digits than its factorization.

105233200019136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27158780 (or 27158736 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 105233200019136 in words is "one hundred five trillion, two hundred thirty-three billion, two hundred million, nineteen thousand, one hundred thirty-six".