105146532 has 48 divisors (see below), whose sum is σ = 286955200. Its totient is φ = 33203520.

The previous prime is 105146521. The next prime is 105146533. The reversal of 105146532 is 235641501.

105146532 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 653 + 2 = 666.

It is a super-2 number, since 2×105146532² = 22111586383254048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105146496 and 105146505.

It is not an unprimeable number, because it can be changed into a prime (105146533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23569 + ... + 27672.

Almost surely, 2^105146532 is an apocalyptic number.

105146532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105146532 is an abundant number, since it is smaller than the sum of its proper divisors (181808668).

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

105146532 is a wasteful number, since it uses less digits than its factorization.

105146532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51273 (or 51265 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105146532 is about 10254.0983026300. The cubic root of 105146532 is about 471.9887541609.

The spelling of 105146532 in words is "one hundred five million, one hundred forty-six thousand, five hundred thirty-two".