100545405589272 has 256 divisors, whose sum is σ = 295260191815680. Its totient is φ = 27933231513600.

The previous prime is 100545405589261. The next prime is 100545405589297. The reversal of 100545405589272 is 272985504545001.

It is a super-2 number, since 2×100545405589272² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8187063772 + ... + 8187076052.

It is an arithmetic number, because the mean of its divisors is an integer number (1153360124280).

Almost surely, 2^{100545405589272} is an apocalyptic number.

100545405589272 is a gapful number since it is divisible by the number (12) 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 100545405589272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147630095907840).

100545405589272 is an abundant number, since it is smaller than the sum of its proper divisors (194714786226408).

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

100545405589272 is a wasteful number, since it uses less digits than its factorization.

100545405589272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16202 (or 16198 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 57.

The spelling of 100545405589272 in words is "one hundred trillion, five hundred forty-five billion, four hundred five million, five hundred eighty-nine thousand, two hundred seventy-two".