106556660010 has 96 divisors (see below), whose sum is σ = 284837933952. Its totient is φ = 27617708160.

The previous prime is 106556659987. The next prime is 106556660053. The reversal of 106556660010 is 10066655601.

It is a super-2 number, since 2×106556660010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3203565 + ... + 3236655.

It is an arithmetic number, because the mean of its divisors is an integer number (2967061812).

Almost surely, 2^106556660010 is an apocalyptic number.

106556660010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106556660010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142418966976).

106556660010 is an abundant number, since it is smaller than the sum of its proper divisors (178281273942).

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

106556660010 is a wasteful number, since it uses less digits than its factorization.

106556660010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34108 (or 34105 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106556660010 in words is "one hundred six billion, five hundred fifty-six million, six hundred sixty thousand, ten".