106052558172 has 192 divisors, whose sum is σ = 293357568000. Its totient is φ = 29468862720.

The previous prime is 106052558099. The next prime is 106052558179. The reversal of 106052558172 is 271855250601.

It is a super-2 number, since 2×106052558172² (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 (106052558179) 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 63 ways as a sum of consecutive naturals, for example, 18463533 + ... + 18469275.

It is an arithmetic number, because the mean of its divisors is an integer number (1527904000).

Almost surely, 2^106052558172 is an apocalyptic number.

106052558172 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 106052558172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146678784000).

106052558172 is an abundant number, since it is smaller than the sum of its proper divisors (187305009828).

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

106052558172 is a wasteful number, since it uses less digits than its factorization.

106052558172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 106052558172 in words is "one hundred six billion, fifty-two million, five hundred fifty-eight thousand, one hundred seventy-two".