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106813060660 = 2255340653033
BaseRepresentation
bin110001101111010001…
…1011111011000110100
3101012200222121200110201
41203132203133120310
53222223120420120
6121022542330244
710500633015055
oct1433643373064
9335628550421
10106813060660
1141332208449
121884b589984
13a0c3182097
145253c3872c
152ba242940a
hex18de8df634

106813060660 has 12 divisors (see below), whose sum is σ = 224307427428. Its totient is φ = 42725224256.

The previous prime is 106813060643. The next prime is 106813060663. The reversal of 106813060660 is 66060318601.

It is a happy number.

106813060660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47995170084 + 58817890576 = 219078^2 + 242524^2 .

It is a super-2 number, since 2×1068130606602 (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 (106813060663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2670326497 + ... + 2670326536.

It is an arithmetic number, because the mean of its divisors is an integer number (18692285619).

Almost surely, 2106813060660 is an apocalyptic number.

106813060660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106813060660 is an abundant number, since it is smaller than the sum of its proper divisors (117494366768).

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

106813060660 is a wasteful number, since it uses less digits than its factorization.

106813060660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340653042 (or 5340653040 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 106813060660 in words is "one hundred six billion, eight hundred thirteen million, sixty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 5340653033 10681306066 21362612132 26703265165 53406530330 106813060660