100506156600 has 96 divisors (see below), whose sum is σ = 312273227520. Its totient is φ = 26741070720.

The previous prime is 100506156577. The next prime is 100506156617. The reversal of 100506156600 is 6651605001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76737 + ... + 454863.

It is an arithmetic number, because the mean of its divisors is an integer number (3252846120).

Almost surely, 2^100506156600 is an apocalyptic number.

100506156600 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 100506156600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156136613760).

100506156600 is an abundant number, since it is smaller than the sum of its proper divisors (211767070920).

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

100506156600 is a wasteful number, since it uses less digits than its factorization.

100506156600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378589 (or 378580 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 100506156600 in words is "one hundred billion, five hundred six million, one hundred fifty-six thousand, six hundred".