10902285810 has 384 divisors, whose sum is σ = 34326452160. Its totient is φ = 2374041600.

The previous prime is 10902285799. The next prime is 10902285841. The reversal of 10902285810 is 1858220901.

It can be written as a sum of positive squares in 32 ways, for example, as 2326229361 + 8576056449 = 48231^2 + 92607^2 .

It is a super-2 number, since 2×10902285810² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23648980 + ... + 23649440.

Almost surely, 2^10902285810 is an apocalyptic number.

10902285810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10902285810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163226080).

10902285810 is an abundant number, since it is smaller than the sum of its proper divisors (23424166350).

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

10902285810 is a wasteful number, since it uses less digits than its factorization.

10902285810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10902285810 in words is "ten billion, nine hundred two million, two hundred eighty-five thousand, eight hundred ten".