106010556660 has 72 divisors (see below), whose sum is σ = 330256331496. Its totient is φ = 27505440000.

The previous prime is 106010556643. The next prime is 106010556667. The reversal of 106010556660 is 66655010601.

It can be written as a sum of positive squares in 4 ways, for example, as 29841180516 + 76169376144 = 172746^2 + 275988^2 .

It is a super-2 number, since 2×106010556660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010556667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7952091 + ... + 7965410.

It is an arithmetic number, because the mean of its divisors is an integer number (4586893493).

Almost surely, 2^106010556660 is an apocalyptic number.

106010556660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010556660 is an abundant number, since it is smaller than the sum of its proper divisors (224245774836).

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

106010556660 is a wasteful number, since it uses less digits than its factorization.

106010556660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15917553 (or 15917548 counting only the distinct ones).

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

It can be divided in two parts, 1060105 and 56660, that added together give a triangular number (1116765 = T₁₄₉₄).

The spelling of 106010556660 in words is "one hundred six billion, ten million, five hundred fifty-six thousand, six hundred sixty".