105308303282532 has 288 divisors, whose sum is σ = 332476829368320. Its totient is φ = 27425545470720.

The previous prime is 105308303282431. The next prime is 105308303282579. The reversal of 105308303282532 is 235282303803501.

105308303282532 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 0 + 8 + 3 + 0 + 32 + 82 + 532 = 666.

It is a super-2 number, since 2×105308303282532² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23627493 + ... + 27728595.

Almost surely, 2^{105308303282532} is an apocalyptic number.

105308303282532 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 105308303282532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166238414684160).

105308303282532 is an abundant number, since it is smaller than the sum of its proper divisors (227168526085788).

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

105308303282532 is a wasteful number, since it uses less digits than its factorization.

105308303282532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101343 (or 4101338 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 105308303282532 in words is "one hundred five trillion, three hundred eight billion, three hundred three million, two hundred eighty-two thousand, five hundred thirty-two".