105632820625083 has 16 divisors (see below), whose sum is σ = 140907018576000. Its totient is φ = 70390253180160.

The previous prime is 105632820625069. The next prime is 105632820625093. The reversal of 105632820625083 is 380526028236501.

It is not a de Polignac number, because 105632820625083 - 2⁴ = 105632820625067 is a prime.

It is a super-2 number, since 2×105632820625083² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105632820625043) 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, 288668968 + ... + 289034666.

It is an arithmetic number, because the mean of its divisors is an integer number (8806688661000).

Almost surely, 2^{105632820625083} is an apocalyptic number.

105632820625083 is a deficient number, since it is larger than the sum of its proper divisors (35274197950917).

105632820625083 is a wasteful number, since it uses less digits than its factorization.

105632820625083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408682.

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 105632820625083 in words is "one hundred five trillion, six hundred thirty-two billion, eight hundred twenty million, six hundred twenty-five thousand, eighty-three".