105030253462321 has 32 divisors (see below), whose sum is σ = 117612016091136. Its totient is φ = 92963652624000.

The previous prime is 105030253462307. The next prime is 105030253462331. The reversal of 105030253462321 is 123264352030501.

It is a cyclic number.

It is not a de Polignac number, because 105030253462321 - 2¹³ = 105030253454129 is a prime.

It is a super-2 number, since 2×105030253462321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105030253462331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1017377776 + ... + 1017481006.

It is an arithmetic number, because the mean of its divisors is an integer number (3675375502848).

Almost surely, 2^{105030253462321} is an apocalyptic number.

105030253462321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105030253462321 is a deficient number, since it is larger than the sum of its proper divisors (12581762628815).

105030253462321 is a wasteful number, since it uses less digits than its factorization.

105030253462321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107853.

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 105030253462321 in words is "one hundred five trillion, thirty billion, two hundred fifty-three million, four hundred sixty-two thousand, three hundred twenty-one".