105233741652 has 48 divisors (see below), whose sum is σ = 265962090240. Its totient is φ = 32192439168.

The previous prime is 105233741647. The next prime is 105233741659. The reversal of 105233741652 is 256147332501.

105233741652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105233741652² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 105233741652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105233741659) 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, 1922652 + ... + 1976627.

It is an arithmetic number, because the mean of its divisors is an integer number (5540876880).

Almost surely, 2^105233741652 is an apocalyptic number.

105233741652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105233741652 is an abundant number, since it is smaller than the sum of its proper divisors (160728348588).

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

105233741652 is a wasteful number, since it uses less digits than its factorization.

105233741652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899472 (or 3899470 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 105233741652 in words is "one hundred five billion, two hundred thirty-three million, seven hundred forty-one thousand, six hundred fifty-two".