100542133044 has 36 divisors (see below), whose sum is σ = 254180515680. Its totient is φ = 33509778960.

The previous prime is 100542133031. The next prime is 100542133177. The reversal of 100542133044 is 440331245001.

It is a happy number.

100542133044 is a `hidden beast` number, since 100 + 542 + 13 + 3 + 0 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 100542132999 and 100542133017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115699 + ... + 463109.

It is an arithmetic number, because the mean of its divisors is an integer number (7060569880).

Almost surely, 2^100542133044 is an apocalyptic number.

It is an amenable number.

100542133044 is an abundant number, since it is smaller than the sum of its proper divisors (153638382636).

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

100542133044 is a wasteful number, since it uses less digits than its factorization.

100542133044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355460 (or 355455 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 100542133044 its reverse (440331245001), we get a palindrome (540873378045).

It can be divided in two parts, 100542 and 133044, that added together give a triangular number (233586 = T₆₈₃).

The spelling of 100542133044 in words is "one hundred billion, five hundred forty-two million, one hundred thirty-three thousand, forty-four".