100034524144000 has 64 divisors (see below), whose sum is σ = 248710835692800. Its totient is φ = 40013809651200.

The previous prime is 100034524143973. The next prime is 100034524144001. The reversal of 100034524144000 is 441425430001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 100034524144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100034524144001) 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, 3126062880 + ... + 3126094879.

It is an arithmetic number, because the mean of its divisors is an integer number (3886106807700).

Almost surely, 2^{100034524144000} is an apocalyptic number.

100034524144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100034524144000 is an abundant number, since it is smaller than the sum of its proper divisors (148676311548800).

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

100034524144000 is an frugal number, since it uses more digits than its factorization.

100034524144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252157788 (or 6252157766 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 100034524144000 its reverse (441425430001), we get a palindrome (100475949574001).

The spelling of 100034524144000 in words is "one hundred trillion, thirty-four billion, five hundred twenty-four million, one hundred forty-four thousand".