105212838770 has 32 divisors (see below), whose sum is σ = 214685311680. Its totient is φ = 36803194560.

The previous prime is 105212838749. The next prime is 105212838781. The reversal of 105212838770 is 77838212501.

It is a super-2 number, since 2×105212838770² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21295676 + ... + 21300615.

It is an arithmetic number, because the mean of its divisors is an integer number (6708915990).

Almost surely, 2^105212838770 is an apocalyptic number.

105212838770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105212838770 is an abundant number, since it is smaller than the sum of its proper divisors (109472472910).

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

105212838770 is a wasteful number, since it uses less digits than its factorization.

105212838770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42596330.

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 105212838770 in words is "one hundred five billion, two hundred twelve million, eight hundred thirty-eight thousand, seven hundred seventy".