106105051060 has 48 divisors (see below), whose sum is σ = 225284250240. Its totient is φ = 41973718400.

The previous prime is 106105051057. The next prime is 106105051067. The reversal of 106105051060 is 60150501601.

It is a super-2 number, since 2×106105051060² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105051067) by changing a digit.

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, 1762131 + ... + 1821349.

It is an arithmetic number, because the mean of its divisors is an integer number (4693421880).

Almost surely, 2^106105051060 is an apocalyptic number.

106105051060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105051060 is an abundant number, since it is smaller than the sum of its proper divisors (119179199180).

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

106105051060 is a wasteful number, since it uses less digits than its factorization.

106105051060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60216 (or 60214 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 106105051060 its reverse (60150501601), we get a palindrome (166255552661).

The spelling of 106105051060 in words is "one hundred six billion, one hundred five million, fifty-one thousand, sixty".