106500241152 has 360 divisors, whose sum is σ = 329016106496. Its totient is φ = 34237292544.

The previous prime is 106500241129. The next prime is 106500241157. The reversal of 106500241152 is 251142005601.

106500241152 is a `hidden beast` number, since 1 + 0 + 6 + 500 + 2 + 4 + 1 + 152 = 666.

It is a super-2 number, since 2×106500241152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106500241157) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 97437918 + ... + 97439010.

Almost surely, 2^106500241152 is an apocalyptic number.

106500241152 is a gapful number since it is divisible by the number (12) 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 106500241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164508053248).

106500241152 is an abundant number, since it is smaller than the sum of its proper divisors (222515865344).

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

106500241152 is a wasteful number, since it uses less digits than its factorization.

106500241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 106500241152 its reverse (251142005601), we get a palindrome (357642246753).

The spelling of 106500241152 in words is "one hundred six billion, five hundred million, two hundred forty-one thousand, one hundred fifty-two".