10205846420 has 144 divisors (see below), whose sum is σ = 27712637568. Its totient is φ = 3120848640.

The previous prime is 10205846389. The next prime is 10205846429. The reversal of 10205846420 is 2464850201.

It is a super-2 number, since 2×10205846420² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205846429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562409 + ... + 580271.

It is an arithmetic number, because the mean of its divisors is an integer number (192448872).

Almost surely, 2^10205846420 is an apocalyptic number.

10205846420 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 10205846420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856318784).

10205846420 is an abundant number, since it is smaller than the sum of its proper divisors (17506791148).

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

10205846420 is a wasteful number, since it uses less digits than its factorization.

10205846420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17950 (or 17941 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 10205846420 in words is "ten billion, two hundred five million, eight hundred forty-six thousand, four hundred twenty".