205015150100 has 72 divisors (see below), whose sum is σ = 452357276448. Its totient is φ = 80629372800.

The previous prime is 205015150073. The next prime is 205015150103. The reversal of 205015150100 is 1051510502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205015150103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20167619 + ... + 20177781.

Almost surely, 2^205015150100 is an apocalyptic number.

205015150100 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 205015150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226178638224).

205015150100 is an abundant number, since it is smaller than the sum of its proper divisors (247342126348).

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

205015150100 is a wasteful number, since it uses less digits than its factorization.

205015150100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13545 (or 13538 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

Adding to 205015150100 its reverse (1051510502), we get a palindrome (206066660602).

The spelling of 205015150100 in words is "two hundred five billion, fifteen million, one hundred fifty thousand, one hundred".