105273000 has 256 divisors, whose sum is σ = 417830400. Its totient is φ = 24019200.

The previous prime is 105272969. The next prime is 105273011. The reversal of 105273000 is 372501.

It is a super-2 number, since 2×105273000² = 22164809058000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188722 + ... + 189278.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^105273000 is an apocalyptic number.

105273000 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 105273000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

105273000 is an abundant number, since it is smaller than the sum of its proper divisors (312557400).

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

105273000 is a wasteful number, since it uses less digits than its factorization.

105273000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 105273000 is about 10260.2631545200. The cubic root of 105273000 is about 472.1779110030.

The spelling of 105273000 in words is "one hundred five million, two hundred seventy-three thousand".