10205155320 has 128 divisors (see below), whose sum is σ = 30831278400. Its totient is φ = 2702278656.

The previous prime is 10205155309. The next prime is 10205155349. The reversal of 10205155320 is 2355150201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16539652 + ... + 16540268.

Almost surely, 2^10205155320 is an apocalyptic number.

10205155320 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 10205155320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415639200).

10205155320 is an abundant number, since it is smaller than the sum of its proper divisors (20626123080).

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

10205155320 is a wasteful number, since it uses less digits than its factorization.

10205155320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 10205155320 in words is "ten billion, two hundred five million, one hundred fifty-five thousand, three hundred twenty".