10102896 has 60 divisors (see below), whose sum is σ = 29944512. Its totient is φ = 3168768.

The previous prime is 10102867. The next prime is 10102907. The reversal of 10102896 is 69820101.

10102896 = T₁₂₅ + T₁₂₆ + ... + T₃₉₆.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385 + ... + 4511.

Almost surely, 2^10102896 is an apocalyptic number.

10102896 is a gapful number since it is divisible by the number (16) 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 10102896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14972256).

10102896 is an abundant number, since it is smaller than the sum of its proper divisors (19841616).

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

10102896 is a wasteful number, since it uses less digits than its factorization.

10102896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10102896 is about 3178.5053091036. The cubic root of 10102896 is about 216.1798912918.

Adding to 10102896 its reverse (69820101), we get a palindrome (79922997).

It can be divided in two parts, 101028 and 96, that added together give a square (101124 = 318²).

The spelling of 10102896 in words is "ten million, one hundred two thousand, eight hundred ninety-six".