100742069646720 has 1152 divisors, whose sum is σ = 373200483352320. Its totient is φ = 24993693204480.

The previous prime is 100742069646643. The next prime is 100742069646721. The reversal of 100742069646720 is 27646960247001.

100742069646720 is a `hidden beast` number, since 1 + 0 + 0 + 74 + 2 + 0 + 6 + 96 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100742069646721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121816286947 + ... + 121816287773.

It is an arithmetic number, because the mean of its divisors is an integer number (323958752910).

Almost surely, 2^{100742069646720} is an apocalyptic number.

100742069646720 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 100742069646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186600241676160).

100742069646720 is an abundant number, since it is smaller than the sum of its proper divisors (272458413705600).

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

100742069646720 is a wasteful number, since it uses less digits than its factorization.

100742069646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 100742069646720 in words is "one hundred trillion, seven hundred forty-two billion, sixty-nine million, six hundred forty-six thousand, seven hundred twenty".