106623600160 has 288 divisors, whose sum is σ = 338471457408. Its totient is φ = 31277998080.

The previous prime is 106623600121. The next prime is 106623600197. The reversal of 106623600160 is 61006326601.

It is a super-2 number, since 2×106623600160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1429717 + ... + 1502443.

It is an arithmetic number, because the mean of its divisors is an integer number (1175248116).

Almost surely, 2^106623600160 is an apocalyptic number.

106623600160 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 106623600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169235728704).

106623600160 is an abundant number, since it is smaller than the sum of its proper divisors (231847857248).

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

106623600160 is a wasteful number, since it uses less digits than its factorization.

106623600160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72784 (or 72769 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 106623600160 its reverse (61006326601), we get a palindrome (167629926761).

The spelling of 106623600160 in words is "one hundred six billion, six hundred twenty-three million, six hundred thousand, one hundred sixty".