106124840528 has 60 divisors (see below), whose sum is σ = 239339577492. Its totient is φ = 45453058560.

The previous prime is 106124840527. The next prime is 106124840531. The reversal of 106124840528 is 825048421601.

It can be written as a sum of positive squares in 2 ways, for example, as 29067522064 + 77057318464 = 170492^2 + 277592^2 .

It is a super-2 number, since 2×106124840528² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106124840527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1209668 + ... + 1294428.

Almost surely, 2^106124840528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106124840528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119669788746).

106124840528 is an abundant number, since it is smaller than the sum of its proper divisors (133214736964).

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

106124840528 is a wasteful number, since it uses less digits than its factorization.

106124840528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86380 (or 86367 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The spelling of 106124840528 in words is "one hundred six billion, one hundred twenty-four million, eight hundred forty thousand, five hundred twenty-eight".