106006615552 has 80 divisors (see below), whose sum is σ = 214601911920. Its totient is φ = 52306051072.

The previous prime is 106006615541. The next prime is 106006615567. The reversal of 106006615552 is 255516600601.

It is a super-2 number, since 2×106006615552² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27019863 + ... + 27023785.

It is an arithmetic number, because the mean of its divisors is an integer number (2682523899).

Almost surely, 2^106006615552 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 106006615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107300955960).

106006615552 is an abundant number, since it is smaller than the sum of its proper divisors (108595296368).

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

106006615552 is an frugal number, since it uses more digits than its factorization.

106006615552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 106006615552 in words is "one hundred six billion, six million, six hundred fifteen thousand, five hundred fifty-two".