105030217027152 has 60 divisors (see below), whose sum is σ = 294527788152000. Its totient is φ = 34939911852864.

The previous prime is 105030217027121. The next prime is 105030217027187. The reversal of 105030217027152 is 251720712030501.

105030217027152 is a `hidden beast` number, since 10 + 5 + 0 + 302 + 1 + 70 + 271 + 5 + 2 = 666.

It is a super-2 number, since 2×105030217027152² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730766328 + ... + 730910039.

It is an arithmetic number, because the mean of its divisors is an integer number (4908796469200).

Almost surely, 2^{105030217027152} is an apocalyptic number.

105030217027152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105030217027152 is an abundant number, since it is smaller than the sum of its proper divisors (189497571124848).

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

105030217027152 is a wasteful number, since it uses less digits than its factorization.

105030217027152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461676880 (or 1461676871 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 105030217027152 its reverse (251720712030501), we get a palindrome (356750929057653).

The spelling of 105030217027152 in words is "one hundred five trillion, thirty billion, two hundred seventeen million, twenty-seven thousand, one hundred fifty-two".