105052390632 has 96 divisors (see below), whose sum is σ = 326048736000. Its totient is φ = 29933131392.

The previous prime is 105052390631. The next prime is 105052390649. The reversal of 105052390632 is 236093250501.

105052390632 is a `hidden beast` number, since 1 + 0 + 505 + 2 + 3 + 90 + 63 + 2 = 666.

It is a super-2 number, since 2×105052390632² (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 (105052390631) 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 23 ways as a sum of consecutive naturals, for example, 99007 + ... + 468942.

It is an arithmetic number, because the mean of its divisors is an integer number (3396341000).

Almost surely, 2^105052390632 is an apocalyptic number.

105052390632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105052390632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163024368000).

105052390632 is an abundant number, since it is smaller than the sum of its proper divisors (220996345368).

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

105052390632 is a wasteful number, since it uses less digits than its factorization.

105052390632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568335 (or 568328 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 105052390632 in words is "one hundred five billion, fifty-two million, three hundred ninety thousand, six hundred thirty-two".