100302672054132 has 144 divisors (see below), whose sum is σ = 265399249489920. Its totient is φ = 31879985854464.

The previous prime is 100302672054121. The next prime is 100302672054197. The reversal of 100302672054132 is 231450276203001.

100302672054132 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 0 + 2 + 67 + 20 + 541 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 598963518 + ... + 599130954.

It is an arithmetic number, because the mean of its divisors is an integer number (1843050343680).

Almost surely, 2^{100302672054132} is an apocalyptic number.

100302672054132 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 100302672054132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132699624744960).

100302672054132 is an abundant number, since it is smaller than the sum of its proper divisors (165096577435788).

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

100302672054132 is a wasteful number, since it uses less digits than its factorization.

100302672054132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169742 (or 169737 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 100302672054132 in words is "one hundred trillion, three hundred two billion, six hundred seventy-two million, fifty-four thousand, one hundred thirty-two".