106202206160 has 80 divisors (see below), whose sum is σ = 255704169600. Its totient is φ = 40972743168.

The previous prime is 106202206147. The next prime is 106202206213. The reversal of 106202206160 is 61602202601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106202206160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2219771 + ... + 2267109.

It is an arithmetic number, because the mean of its divisors is an integer number (3196302120).

Almost surely, 2^106202206160 is an apocalyptic number.

106202206160 is a gapful number since it is divisible by the number (10) 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 106202206160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127852084800).

106202206160 is an abundant number, since it is smaller than the sum of its proper divisors (149501963440).

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

106202206160 is a wasteful number, since it uses less digits than its factorization.

106202206160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48348 (or 48342 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 106202206160 its reverse (61602202601), we get a palindrome (167804408761).

The spelling of 106202206160 in words is "one hundred six billion, two hundred two million, two hundred six thousand, one hundred sixty".