100675387330560 has 2496 divisors, whose sum is σ = 444568456765440. Its totient is φ = 21474878423040.

The previous prime is 100675387330559. The next prime is 100675387330613. The reversal of 100675387330560 is 65033783576001.

100675387330560 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 7 + 5 + 3 + 8 + 73 + 3 + 0 + 560 = 666.

It is a super-2 number, since 2×100675387330560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 100675387330497 and 100675387330506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58498190500 + ... + 58498192220.

Almost surely, 2^{100675387330560} is an apocalyptic number.

100675387330560 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 100675387330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222284228382720).

100675387330560 is an abundant number, since it is smaller than the sum of its proper divisors (343893069434880).

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

100675387330560 is a wasteful number, since it uses less digits than its factorization.

100675387330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 100675387330560 in words is "one hundred trillion, six hundred seventy-five billion, three hundred eighty-seven million, three hundred thirty thousand, five hundred sixty".