100628016089952 has 192 divisors, whose sum is σ = 289152634921920. Its totient is φ = 30452613120000.

The previous prime is 100628016089879. The next prime is 100628016089963. The reversal of 100628016089952 is 259980610826001.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100628016089892 and 100628016089901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218082824 + ... + 1218165432.

It is an arithmetic number, because the mean of its divisors is an integer number (1506003306885).

Almost surely, 2^{100628016089952} is an apocalyptic number.

100628016089952 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 100628016089952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144576317460960).

100628016089952 is an abundant number, since it is smaller than the sum of its proper divisors (188524618831968).

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

100628016089952 is a wasteful number, since it uses less digits than its factorization.

100628016089952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98697 (or 98689 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 100628016089952 in words is "one hundred trillion, six hundred twenty-eight billion, sixteen million, eighty-nine thousand, nine hundred fifty-two".