100006050600 has 240 divisors, whose sum is σ = 348166019520. Its totient is φ = 26604547200.

The previous prime is 100006050583. The next prime is 100006050649. The reversal of 100006050600 is 6050600001.

100006050600 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 60 + 5 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6975039 + ... + 6989361.

It is an arithmetic number, because the mean of its divisors is an integer number (1450691748).

Almost surely, 2^100006050600 is an apocalyptic number.

100006050600 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 100006050600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174083009760).

100006050600 is an abundant number, since it is smaller than the sum of its proper divisors (248159968920).

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

100006050600 is a wasteful number, since it uses less digits than its factorization.

100006050600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14782 (or 14764 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 100006050600 its reverse (6050600001), we get a palindrome (106056650601).

The spelling of 100006050600 in words is "one hundred billion, six million, fifty thousand, six hundred".