100506105550000 has 120 divisors (see below), whose sum is σ = 243408761748432. Its totient is φ = 40200606240000.

The previous prime is 100506105549989. The next prime is 100506105550033. The reversal of 100506105550000 is 55501605001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1803322134 + ... + 1803377866.

Almost surely, 2^{100506105550000} is an apocalyptic number.

100506105550000 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 100506105550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121704380874216).

100506105550000 is an abundant number, since it is smaller than the sum of its proper divisors (142902656198432).

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

100506105550000 is an frugal number, since it uses more digits than its factorization.

100506105550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91833 (or 91807 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 100506105550000 in words is "one hundred trillion, five hundred six billion, one hundred five million, five hundred fifty thousand".