105113651652 has 36 divisors (see below), whose sum is σ = 268141613740. Its totient is φ = 34716434112.

The previous prime is 105113651651. The next prime is 105113651653. The reversal of 105113651652 is 256156311501.

105113651652 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 136 + 516 + 5 + 2 = 666.

105113651652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105113651651) and next prime (105113651653).

It can be written as a sum of positive squares in 2 ways, for example, as 59139430596 + 45974221056 = 243186^2 + 214416^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105113651652² (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 not an unprimeable number, because it can be changed into a prime (105113651651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13389763 + ... + 13397610.

Almost surely, 2^105113651652 is an apocalyptic number.

105113651652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105113651652 is an abundant number, since it is smaller than the sum of its proper divisors (163027962088).

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

105113651652 is a wasteful number, since it uses less digits than its factorization.

105113651652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26787492 (or 26787487 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105113651652 in words is "one hundred five billion, one hundred thirteen million, six hundred fifty-one thousand, six hundred fifty-two".