105146500 has 48 divisors (see below), whose sum is σ = 231796656. Its totient is φ = 41664000.

The previous prime is 105146497. The next prime is 105146519. The reversal of 105146500 is 5641501.

It can be written as a sum of positive squares in 8 ways, for example, as 98049604 + 7096896 = 9902^2 + 2664^2 .

It is a super-2 number, since 2×105146500² = 22111572924500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55570 + ... + 57430.

It is an arithmetic number, because the mean of its divisors is an integer number (4829097).

Almost surely, 2^105146500 is an apocalyptic number.

105146500 is a gapful number since it is divisible by the number (10) 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 105146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115898328).

105146500 is an abundant number, since it is smaller than the sum of its proper divisors (126650156).

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

105146500 is a wasteful number, since it uses less digits than its factorization.

105146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105146500 is about 10254.0967422782. The cubic root of 105146500 is about 471.9887062796.

The spelling of 105146500 in words is "one hundred five million, one hundred forty-six thousand, five hundred".