106006150096 has 160 divisors (see below), whose sum is σ = 277744723200. Its totient is φ = 37923225600.

The previous prime is 106006150093. The next prime is 106006150097. The reversal of 106006150096 is 690051600601.

It is a super-2 number, since 2×106006150096² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006150093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796980 + ... + 920428.

It is an arithmetic number, because the mean of its divisors is an integer number (1735904520).

Almost surely, 2^106006150096 is an apocalyptic number.

106006150096 is a gapful number since it is divisible by the number (16) 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 106006150096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138872361600).

106006150096 is an abundant number, since it is smaller than the sum of its proper divisors (171738573104).

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

106006150096 is a wasteful number, since it uses less digits than its factorization.

106006150096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123533 (or 123527 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

Adding to 106006150096 its reverse (690051600601), we get a palindrome (796057750697).

The spelling of 106006150096 in words is "one hundred six billion, six million, one hundred fifty thousand, ninety-six".