106240336520 has 256 divisors, whose sum is σ = 271079524800. Its totient is φ = 37273600000.

The previous prime is 106240336513. The next prime is 106240336529. The reversal of 106240336520 is 25633042601.

It can be written as a sum of positive squares in 32 ways, for example, as 7730981476 + 98509355044 = 87926^2 + 313862^2 .

It is a super-2 number, since 2×106240336520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106240336529) 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 63 ways as a sum of consecutive naturals, for example, 81659870 + ... + 81661170.

Almost surely, 2^106240336520 is an apocalyptic number.

106240336520 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 106240336520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135539762400).

106240336520 is an abundant number, since it is smaller than the sum of its proper divisors (164839188280).

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

106240336520 is a wasteful number, since it uses less digits than its factorization.

106240336520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 106240336520 in words is "one hundred six billion, two hundred forty million, three hundred thirty-six thousand, five hundred twenty".