10116288 has 168 divisors, whose sum is σ = 35872928. Its totient is φ = 2654208.

The previous prime is 10116277. The next prime is 10116307. The reversal of 10116288 is 88261101.

10116288 = T₇ + T₈ + ... + T₃₉₂.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52320 + ... + 52512.

Almost surely, 2^10116288 is an apocalyptic number.

10116288 is a gapful number since it is divisible by the number (18) 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 10116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936464).

10116288 is an abundant number, since it is smaller than the sum of its proper divisors (25756640).

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

10116288 is a wasteful number, since it uses less digits than its factorization.

10116288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 10116288 is about 3180.6112620061. The cubic root of 10116288 is about 216.2753689596.

Adding to 10116288 its reverse (88261101), we get a palindrome (98377389).

It can be divided in two parts, 10116 and 288, that added together give a square (10404 = 102²).

The spelling of 10116288 in words is "ten million, one hundred sixteen thousand, two hundred eighty-eight".