10210095840 has 192 divisors, whose sum is σ = 37136461824. Its totient is φ = 2309603328.

The previous prime is 10210095829. The next prime is 10210095851. The reversal of 10210095840 is 4859001201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10210095829) and next prime (10210095851).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10210095798 and 10210095807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310257 + ... + 341583.

It is an arithmetic number, because the mean of its divisors is an integer number (193419072).

Almost surely, 2^10210095840 is an apocalyptic number.

10210095840 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 10210095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18568230912).

10210095840 is an abundant number, since it is smaller than the sum of its proper divisors (26926365984).

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

10210095840 is a wasteful number, since it uses less digits than its factorization.

10210095840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31449 (or 31441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 10210095840 in words is "ten billion, two hundred ten million, ninety-five thousand, eight hundred forty".