10116000 has 144 divisors (see below), whose sum is σ = 36029448. Its totient is φ = 2688000.

The previous prime is 10115993. The next prime is 10116011. The reversal of 10116000 is 61101.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 6290064 = 1956^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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, 35860 + ... + 36140.

Almost surely, 2^10116000 is an apocalyptic number.

10116000 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 10116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014724).

10116000 is an abundant number, since it is smaller than the sum of its proper divisors (25913448).

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

10116000 is a wasteful number, since it uses less digits than its factorization.

10116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

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

The square root of 10116000 is about 3180.5659873677. The cubic root of 10116000 is about 216.2733165632.

Adding to 10116000 its reverse (61101), we get a palindrome (10177101).

The spelling of 10116000 in words is "ten million, one hundred sixteen thousand".