105101061056030 has 32 divisors (see below), whose sum is σ = 205338572135424. Its totient is φ = 38500982263296.

The previous prime is 105101061055993. The next prime is 105101061056039. The reversal of 105101061056030 is 30650160101501.

105101061056030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105101061056030² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105101061055984 and 105101061056002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101061056039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3182935067 + ... + 3182968086.

It is an arithmetic number, because the mean of its divisors is an integer number (6416830379232).

Almost surely, 2^{105101061056030} is an apocalyptic number.

105101061056030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105101061056030 is a deficient number, since it is larger than the sum of its proper divisors (100237511079394).

105101061056030 is a wasteful number, since it uses less digits than its factorization.

105101061056030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365903300.

The product of its (nonzero) digits is 2700, while the sum is 29.

The spelling of 105101061056030 in words is "one hundred five trillion, one hundred one billion, sixty-one million, fifty-six thousand, thirty".