106205466511872 has 1600 divisors, whose sum is σ = 397078435353600. Its totient is φ = 27680708689920.

The previous prime is 106205466511861. The next prime is 106205466511889. The reversal of 106205466511872 is 278115664502601.

106205466511872 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 5 + 46 + 6 + 511 + 87 + 2 = 666.

It is a super-2 number, since 2×106205466511872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 56764011097 + ... + 56764012967.

It is an arithmetic number, because the mean of its divisors is an integer number (248174022096).

Almost surely, 2^{106205466511872} is an apocalyptic number.

106205466511872 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 106205466511872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198539217676800).

106205466511872 is an abundant number, since it is smaller than the sum of its proper divisors (290872968841728).

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

106205466511872 is an frugal number, since it uses more digits than its factorization.

106205466511872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 106205466511872 in words is "one hundred six trillion, two hundred five billion, four hundred sixty-six million, five hundred eleven thousand, eight hundred seventy-two".