106512210105 has 64 divisors (see below), whose sum is σ = 208377139200. Its totient is φ = 45372337920.

The previous prime is 106512210053. The next prime is 106512210107. The reversal of 106512210105 is 501012215601.

It is not a de Polignac number, because 106512210105 - 2¹¹ = 106512208057 is a prime.

It is a super-2 number, since 2×106512210105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106512210107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315925 + ... + 559314.

It is an arithmetic number, because the mean of its divisors is an integer number (3255892800).

Almost surely, 2^106512210105 is an apocalyptic number.

106512210105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106512210105 is a deficient number, since it is larger than the sum of its proper divisors (101864929095).

106512210105 is a wasteful number, since it uses less digits than its factorization.

106512210105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875334.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 106512210105 its reverse (501012215601), we get a palindrome (607524425706).

The spelling of 106512210105 in words is "one hundred six billion, five hundred twelve million, two hundred ten thousand, one hundred five".