100146775680 has 512 divisors, whose sum is σ = 408114892800. Its totient is φ = 22734950400.

The previous prime is 100146775661. The next prime is 100146775691. The reversal of 100146775680 is 86577641001.

100146775680 is a `hidden beast` number, since 1 + 0 + 0 + 14 + 6 + 77 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18262219 + ... + 18267701.

It is an arithmetic number, because the mean of its divisors is an integer number (797099400).

Almost surely, 2^100146775680 is an apocalyptic number.

100146775680 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 100146775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204057446400).

100146775680 is an abundant number, since it is smaller than the sum of its proper divisors (307968117120).

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

100146775680 is a wasteful number, since it uses less digits than its factorization.

100146775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

It can be divided in two parts, 100146 and 775680, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 100146775680 in words is "one hundred billion, one hundred forty-six million, seven hundred seventy-five thousand, six hundred eighty".