106162124205060 has 288 divisors, whose sum is σ = 410822734113792. Its totient is φ = 21546646652160.

The previous prime is 106162124205041. The next prime is 106162124205121. The reversal of 106162124205060 is 60502421261601.

106162124205060 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 2 + 124 + 20 + 506 + 0 = 666.

It is a super-2 number, since 2×106162124205060² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88469194 + ... + 89661153.

It is an arithmetic number, because the mean of its divisors is an integer number (1426467826784).

Almost surely, 2^{106162124205060} is an apocalyptic number.

106162124205060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106162124205060 is an abundant number, since it is smaller than the sum of its proper divisors (304660609908732).

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

106162124205060 is a wasteful number, since it uses less digits than its factorization.

106162124205060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178130423 (or 178130418 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 106162124205060 its reverse (60502421261601), we get a palindrome (166664545466661).

The spelling of 106162124205060 in words is "one hundred six trillion, one hundred sixty-two billion, one hundred twenty-four million, two hundred five thousand, sixty".