106005010624 has 56 divisors (see below), whose sum is σ = 215639751600. Its totient is φ = 51672453120.

The previous prime is 106005010561. The next prime is 106005010627. The reversal of 106005010624 is 426010500601.

It is a super-2 number, since 2×106005010624² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005010627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3814572 + ... + 3842260.

It is an arithmetic number, because the mean of its divisors is an integer number (3850709850).

Almost surely, 2^106005010624 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 106005010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107819875800).

106005010624 is an abundant number, since it is smaller than the sum of its proper divisors (109634740976).

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

106005010624 is a wasteful number, since it uses less digits than its factorization.

106005010624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29201 (or 29191 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 106005010624 in words is "one hundred six billion, five million, ten thousand, six hundred twenty-four".