100105500546464 has 48 divisors (see below), whose sum is σ = 230730970792896. Its totient is φ = 41855958412800.

The previous prime is 100105500546461. The next prime is 100105500546517. The reversal of 100105500546464 is 464645005501001.

It is a super-3 number, since 3×100105500546464³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (100105500546461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5449985402 + ... + 5450003769.

It is an arithmetic number, because the mean of its divisors is an integer number (4806895224852).

Almost surely, 2^{100105500546464} is an apocalyptic number.

100105500546464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100105500546464 is an abundant number, since it is smaller than the sum of its proper divisors (130625470246432).

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

100105500546464 is a wasteful number, since it uses less digits than its factorization.

100105500546464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10899989229 (or 10899989221 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 100105500546464 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred forty-six thousand, four hundred sixty-four".