106241315136 has 112 divisors (see below), whose sum is σ = 307563072960. Its totient is φ = 32098590720.

The previous prime is 106241315119. The next prime is 106241315153. The reversal of 106241315136 is 631513142601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106241315119) and next prime (106241315153).

It is a super-2 number, since 2×106241315136² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 106241315097 and 106241315106.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 637110 + ... + 786378.

Almost surely, 2^106241315136 is an apocalyptic number.

106241315136 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 106241315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153781536480).

106241315136 is an abundant number, since it is smaller than the sum of its proper divisors (201321757824).

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

106241315136 is a wasteful number, since it uses less digits than its factorization.

106241315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149632 (or 149622 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 106241315136 its reverse (631513142601), we get a palindrome (737754457737).

The spelling of 106241315136 in words is "one hundred six billion, two hundred forty-one million, three hundred fifteen thousand, one hundred thirty-six".