105233504215521 has 32 divisors (see below), whose sum is σ = 154517957641728. Its totient is φ = 63173438599040.

The previous prime is 105233504215519. The next prime is 105233504215531. The reversal of 105233504215521 is 125512405332501.

It is not a de Polignac number, because 105233504215521 - 2¹ = 105233504215519 is a prime.

It is a super-2 number, since 2×105233504215521² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105233504215521.

It is not an unprimeable number, because it can be changed into a prime (105233504215531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24673981 + ... + 28622933.

It is an arithmetic number, because the mean of its divisors is an integer number (4828686176304).

Almost surely, 2^{105233504215521} is an apocalyptic number.

105233504215521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105233504215521 is a deficient number, since it is larger than the sum of its proper divisors (49284453426207).

105233504215521 is a wasteful number, since it uses less digits than its factorization.

105233504215521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956621.

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 105233504215521 in words is "one hundred five trillion, two hundred thirty-three billion, five hundred four million, two hundred fifteen thousand, five hundred twenty-one".