105146550 has 108 divisors (see below), whose sum is σ = 291634980. Its totient is φ = 27158400.

The previous prime is 105146549. The next prime is 105146599. The reversal of 105146550 is 55641501.

It is a happy number.

105146550 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 655 + 0 = 666.

It is a super-2 number, since 2×105146550² = 22111593953805000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 756381 + ... + 756519.

Almost surely, 2^105146550 is an apocalyptic number.

105146550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105146550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145817490).

105146550 is an abundant number, since it is smaller than the sum of its proper divisors (186488430).

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

105146550 is a wasteful number, since it uses less digits than its factorization.

105146550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105146550 is about 10254.0991803278. The cubic root of 105146550 is about 471.9887810941.

The spelling of 105146550 in words is "one hundred five million, one hundred forty-six thousand, five hundred fifty".