100506105551100 has 72 divisors (see below), whose sum is σ = 290806195212288. Its totient is φ = 26800841988800.

The previous prime is 100506105551081. The next prime is 100506105551113. The reversal of 100506105551100 is 1155501605001.

It is a super-2 number, since 2×100506105551100² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5366917 + ... + 15159683.

It is an arithmetic number, because the mean of its divisors is an integer number (4038974933504).

Almost surely, 2^{100506105551100} is an apocalyptic number.

100506105551100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100506105551100 is an abundant number, since it is smaller than the sum of its proper divisors (190300089661188).

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

100506105551100 is a wasteful number, since it uses less digits than its factorization.

100506105551100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826995 (or 9826988 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 100506105551100 in words is "one hundred trillion, five hundred six billion, one hundred five million, five hundred fifty-one thousand, one hundred".