105275000 has 48 divisors (see below), whose sum is σ = 246781080. Its totient is φ = 42100000.

The previous prime is 105274997. The next prime is 105275021. The reversal of 105275000 is 572501.

It is a super-2 number, since 2×105275000² = 22165651250000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22895 + ... + 27105.

Almost surely, 2^105275000 is an apocalyptic number.

105275000 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 105275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123390540).

105275000 is an abundant number, since it is smaller than the sum of its proper divisors (141506080).

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

105275000 is an frugal number, since it uses more digits than its factorization.

105275000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 105275000 is about 10260.3606174442. The cubic root of 105275000 is about 472.1809011646.

The spelling of 105275000 in words is "one hundred five million, two hundred seventy-five thousand".