105162000 has 160 divisors (see below), whose sum is σ = 359334144. Its totient is φ = 26368000.

The previous prime is 105161977. The next prime is 105162019. The reversal of 105162000 is 261501.

It is a super-3 number, since 3×105162000³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101485 + ... + 102515.

Almost surely, 2^105162000 is an apocalyptic number.

105162000 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 105162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179667072).

105162000 is an abundant number, since it is smaller than the sum of its proper divisors (254172144).

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

105162000 is a wasteful number, since it uses less digits than its factorization.

105162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105162000 is about 10254.8525099096. The cubic root of 105162000 is about 472.0118976221.

The spelling of 105162000 in words is "one hundred five million, one hundred sixty-two thousand".