106562646552 has 64 divisors (see below), whose sum is σ = 271360488960. Its totient is φ = 34862889600.

The previous prime is 106562646521. The next prime is 106562646559. The reversal of 106562646552 is 255646265601.

It is a super-2 number, since 2×106562646552² (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 (106562646559) 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 15 ways as a sum of consecutive naturals, for example, 599227 + ... + 756437.

It is an arithmetic number, because the mean of its divisors is an integer number (4240007640).

Almost surely, 2^106562646552 is an apocalyptic number.

106562646552 is a gapful number since it is divisible by the number (12) 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 106562646552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135680244480).

106562646552 is an abundant number, since it is smaller than the sum of its proper divisors (164797842408).

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

106562646552 is a wasteful number, since it uses less digits than its factorization.

106562646552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157744 (or 157740 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 106562646552 in words is "one hundred six billion, five hundred sixty-two million, six hundred forty-six thousand, five hundred fifty-two".