106105105000 has 40 divisors (see below), whose sum is σ = 248604272730. Its totient is φ = 42442040000.

The previous prime is 106105104979. The next prime is 106105105003. The reversal of 106105105000 is 501501601.

It can be written as a sum of positive squares in 5 ways, for example, as 2373443524 + 103731661476 = 48718^2 + 322074^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106105105000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105105003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10605511 + ... + 10615510.

Almost surely, 2^106105105000 is an apocalyptic number.

106105105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105105000 is an abundant number, since it is smaller than the sum of its proper divisors (142499167730).

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

106105105000 is an equidigital number, since it uses as much as digits as its factorization.

106105105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21221047 (or 21221028 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 106105105000 its reverse (501501601), we get a palindrome (106606606601).

The spelling of 106105105000 in words is "one hundred six billion, one hundred five million, one hundred five thousand".