106110001152 has 84 divisors (see below), whose sum is σ = 306521506590. Its totient is φ = 35369975808.

The previous prime is 106110001121. The next prime is 106110001159. The reversal of 106110001152 is 251100011601.

It is a happy number.

106110001152 is a `hidden beast` number, since 1 + 0 + 611 + 0 + 0 + 0 + 1 + 1 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60115193856 + 45994807296 = 245184^2 + 214464^2 .

It is a super-2 number, since 2×106110001152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106110001159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 645877 + ... + 793332.

Almost surely, 2^106110001152 is an apocalyptic number.

106110001152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106110001152 is an abundant number, since it is smaller than the sum of its proper divisors (200411505438).

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

106110001152 is an equidigital number, since it uses as much as digits as its factorization.

106110001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439241 (or 1439214 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 106110001152 its reverse (251100011601), we get a palindrome (357210012753).

The spelling of 106110001152 in words is "one hundred six billion, one hundred ten million, one thousand, one hundred fifty-two".