106405170536 has 64 divisors (see below), whose sum is σ = 237060096000. Its totient is φ = 43813586880.

The previous prime is 106405170499. The next prime is 106405170551. The reversal of 106405170536 is 635071504601.

It is a super-2 number, since 2×106405170536² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106405170536.

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, 20825 + ... + 461783.

It is an arithmetic number, because the mean of its divisors is an integer number (3704064000).

Almost surely, 2^106405170536 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 106405170536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118530048000).

106405170536 is an abundant number, since it is smaller than the sum of its proper divisors (130654925464).

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

106405170536 is a wasteful number, since it uses less digits than its factorization.

106405170536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441142 (or 441138 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 106405170536 in words is "one hundred six billion, four hundred five million, one hundred seventy thousand, five hundred thirty-six".