106006150120 has 128 divisors (see below), whose sum is σ = 262080282240. Its totient is φ = 38347545600.

The previous prime is 106006150111. The next prime is 106006150189. The reversal of 106006150120 is 21051600601.

It is a super-2 number, since 2×106006150120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106006150091 and 106006150100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22789795 + ... + 22794445.

It is an arithmetic number, because the mean of its divisors is an integer number (2047502205).

Almost surely, 2^106006150120 is an apocalyptic number.

106006150120 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 106006150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040141120).

106006150120 is an abundant number, since it is smaller than the sum of its proper divisors (156074132120).

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

106006150120 is a wasteful number, since it uses less digits than its factorization.

106006150120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 106006150120 its reverse (21051600601), we get a palindrome (127057750721).

The spelling of 106006150120 in words is "one hundred six billion, six million, one hundred fifty thousand, one hundred twenty".