106164121110 has 32 divisors (see below), whose sum is σ = 254844817920. Its totient is φ = 28304773728.

The previous prime is 106164121051. The next prime is 106164121121. The reversal of 106164121110 is 11121461601.

It is a super-2 number, since 2×106164121110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199972 + ... + 502311.

It is an arithmetic number, because the mean of its divisors is an integer number (7963900560).

Almost surely, 2^106164121110 is an apocalyptic number.

106164121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106164121110 is an abundant number, since it is smaller than the sum of its proper divisors (148680696810).

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

106164121110 is a wasteful number, since it uses less digits than its factorization.

106164121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707332.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 106164121110 its reverse (11121461601), we get a palindrome (117285582711).

The spelling of 106164121110 in words is "one hundred six billion, one hundred sixty-four million, one hundred twenty-one thousand, one hundred ten".