106055005000572 has 144 divisors (see below), whose sum is σ = 287270945357760. Its totient is φ = 32873024323584.

The previous prime is 106055005000543. The next prime is 106055005000603. The reversal of 106055005000572 is 275000500550601.

It is a happy number.

106055005000572 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 550 + 0 + 50 + 0 + 0 + 57 + 2 = 666.

It is a super-2 number, since 2×106055005000572² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25351804 + ... + 29237372.

It is an arithmetic number, because the mean of its divisors is an integer number (1994937120540).

Almost surely, 2^{106055005000572} is an apocalyptic number.

106055005000572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106055005000572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143635472678880).

106055005000572 is an abundant number, since it is smaller than the sum of its proper divisors (181215940357188).

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

106055005000572 is a wasteful number, since it uses less digits than its factorization.

106055005000572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886132 (or 3886127 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 106055005000572 in words is "one hundred six trillion, fifty-five billion, five million, five hundred seventy-two", and thus it is an aban number.