105165000 has 320 divisors, whose sum is σ = 393624000. Its totient is φ = 25920000.

The previous prime is 105164977. The next prime is 105165023. The reversal of 105165000 is 561501.

105165000 is a `hidden beast` number, since 10 + 5 + 1 + 650 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105164977) and next prime (105165023).

It is a super-2 number, since 2×105165000² = 22119354450000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2564980 + ... + 2565020.

It is an arithmetic number, because the mean of its divisors is an integer number (1230075).

Almost surely, 2^105165000 is an apocalyptic number.

105165000 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 105165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196812000).

105165000 is an abundant number, since it is smaller than the sum of its proper divisors (288459000).

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

105165000 is a wasteful number, since it uses less digits than its factorization.

105165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105165000 is about 10254.9987810823. The cubic root of 105165000 is about 472.0163860059.

The spelling of 105165000 in words is "one hundred five million, one hundred sixty-five thousand".