100882954752 has 480 divisors, whose sum is σ = 306443136384. Its totient is φ = 29412556800.

The previous prime is 100882954747. The next prime is 100882954807. The reversal of 100882954752 is 257459288001.

It is a super-3 number, since 3×100882954752³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 100882954695 and 100882954704.

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 47 ways as a sum of consecutive naturals, for example, 418601352 + ... + 418601592.

Almost surely, 2^100882954752 is an apocalyptic number.

100882954752 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 100882954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153221568192).

100882954752 is an abundant number, since it is smaller than the sum of its proper divisors (205560181632).

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

100882954752 is a wasteful number, since it uses less digits than its factorization.

100882954752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 100882954752 in words is "one hundred billion, eight hundred eighty-two million, nine hundred fifty-four thousand, seven hundred fifty-two".