205156260100 has 288 divisors, whose sum is σ = 546748755840. Its totient is φ = 65848320000.

The previous prime is 205156260097. The next prime is 205156260103. The reversal of 205156260100 is 1062651502.

It is an interprime number because it is at equal distance from previous prime (205156260097) and next prime (205156260103).

It is not an unprimeable number, because it can be changed into a prime (205156260103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35882442 + ... + 35888158.

It is an arithmetic number, because the mean of its divisors is an integer number (1898433180).

Almost surely, 2^205156260100 is an apocalyptic number.

205156260100 is a gapful number since it is divisible by the number (20) 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 205156260100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273374377920).

205156260100 is an abundant number, since it is smaller than the sum of its proper divisors (341592495740).

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

205156260100 is a wasteful number, since it uses less digits than its factorization.

205156260100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 205156260100 in words is "two hundred five billion, one hundred fifty-six million, two hundred sixty thousand, one hundred".