106121626020 has 72 divisors (see below), whose sum is σ = 335898029376. Its totient is φ = 27068703552.

The previous prime is 106121625971. The next prime is 106121626031. The reversal of 106121626020 is 20626121601.

106121626020 is a `hidden beast` number, since 1 + 0 + 6 + 12 + 1 + 626 + 0 + 20 = 666.

It is a super-2 number, since 2×106121626020² (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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12812482 + ... + 12820761.

It is an arithmetic number, because the mean of its divisors is an integer number (4665250408).

Almost surely, 2^106121626020 is an apocalyptic number.

106121626020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106121626020 is an abundant number, since it is smaller than the sum of its proper divisors (229776403356).

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

106121626020 is a wasteful number, since it uses less digits than its factorization.

106121626020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25633281 (or 25633276 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 106121626020 its reverse (20626121601), we get a palindrome (126747747621).

The spelling of 106121626020 in words is "one hundred six billion, one hundred twenty-one million, six hundred twenty-six thousand, twenty".