100001075587452 has 240 divisors, whose sum is σ = 283822353948672. Its totient is φ = 30520170506880.

The previous prime is 100001075587373. The next prime is 100001075587453. The reversal of 100001075587452 is 254785570100001.

100001075587452 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 10 + 7 + 5 + 587 + 4 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100001075587398 and 100001075587407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001075587453) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 278979613 + ... + 279337835.

Almost surely, 2^{100001075587452} is an apocalyptic number.

100001075587452 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 100001075587452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141911176974336).

100001075587452 is an abundant number, since it is smaller than the sum of its proper divisors (183821278361220).

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

100001075587452 is a wasteful number, since it uses less digits than its factorization.

100001075587452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358790 (or 358779 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 100001075587452 in words is "one hundred trillion, one billion, seventy-five million, five hundred eighty-seven thousand, four hundred fifty-two".