10161000 has 96 divisors (see below), whose sum is σ = 34374600. Its totient is φ = 2707200.

The previous prime is 10160999. The next prime is 10161007. The reversal of 10161000 is 16101.

It can be written as a sum of positive squares in 4 ways, for example, as 1052676 + 9108324 = 1026^2 + 3018^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10161007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8436 + ... + 9564.

Almost surely, 2^10161000 is an apocalyptic number.

10161000 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 10161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17187300).

10161000 is an abundant number, since it is smaller than the sum of its proper divisors (24213600).

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

10161000 is a wasteful number, since it uses less digits than its factorization.

10161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10161000 is about 3187.6323501935. The cubic root of 10161000 is about 216.5935321872.

Adding to 10161000 its reverse (16101), we get a palindrome (10177101).

It can be divided in two parts, 1016 and 1000, that added together give a triangular number (2016 = T₆₃).

The spelling of 10161000 in words is "ten million, one hundred sixty-one thousand".