100545642149340 has 288 divisors, whose sum is σ = 297972181785600. Its totient is φ = 25320635458560.

The previous prime is 100545642149327. The next prime is 100545642149389. The reversal of 100545642149340 is 43941246545001.

100545642149340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100545642149340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382723230 + ... + 382985850.

It is an arithmetic number, because the mean of its divisors is an integer number (1034625631200).

Almost surely, 2^{100545642149340} is an apocalyptic number.

100545642149340 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 100545642149340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148986090892800).

100545642149340 is an abundant number, since it is smaller than the sum of its proper divisors (197426539636260).

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

100545642149340 is a wasteful number, since it uses less digits than its factorization.

100545642149340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262845 (or 262806 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 100545642149340 in words is "one hundred trillion, five hundred forty-five billion, six hundred forty-two million, one hundred forty-nine thousand, three hundred forty".