100673129243520 has 768 divisors, whose sum is σ = 367328991631680. Its totient is φ = 25377997455360.

The previous prime is 100673129243513. The next prime is 100673129243537. The reversal of 100673129243520 is 25342921376001.

It is a happy number.

100673129243520 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 7 + 3 + 1 + 292 + 4 + 352 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1042321630 + ... + 1042418210.

Almost surely, 2^{100673129243520} is an apocalyptic number.

100673129243520 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 100673129243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183664495815840).

100673129243520 is an abundant number, since it is smaller than the sum of its proper divisors (266655862388160).

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

100673129243520 is a wasteful number, since it uses less digits than its factorization.

100673129243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96783 (or 96768 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 100673129243520 in words is "one hundred trillion, six hundred seventy-three billion, one hundred twenty-nine million, two hundred forty-three thousand, five hundred twenty".