105164300 has 18 divisors (see below), whose sum is σ = 228206748. Its totient is φ = 42065680.

The previous prime is 105164291. The next prime is 105164341. The reversal of 105164300 is 3461501.

It is a super-2 number, since 2×105164300² = 22119059988980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 525722 + ... + 525921.

Almost surely, 2^105164300 is an apocalyptic number.

105164300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105164300 is an abundant number, since it is smaller than the sum of its proper divisors (123042448).

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

105164300 is a wasteful number, since it uses less digits than its factorization.

105164300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051657 (or 1051650 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105164300 is about 10254.9646513286. The cubic root of 105164300 is about 472.0153387240.

The spelling of 105164300 in words is "one hundred five million, one hundred sixty-four thousand, three hundred".