100907007381504 has 351 divisors, whose sum is σ = 294712311113337. Its totient is φ = 33266004000768.

The previous prime is 100907007381493. The next prime is 100907007381547. The reversal of 100907007381504 is 405183700709001.

The square root of 100907007381504 is 10045248.

It is a perfect power (a square), and thus also a powerful number.

100907007381504 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 70 + 0 + 73 + 8 + 1 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1778062233600 + 99128945147904 = 1333440^2 + 9956352^2 .

It is a super-3 number, since 3×100907007381504³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100907007381504.

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 26 ways as a sum of consecutive naturals, for example, 217941700377 + ... + 217941700839.

Almost surely, 2^{100907007381504} is an apocalyptic number.

100907007381504 is the 10045248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100907007381504

100907007381504 is an abundant number, since it is smaller than the sum of its proper divisors (193805303731833).

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

100907007381504 is an frugal number, since it uses more digits than its factorization.

100907007381504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 100907007381504 in words is "one hundred trillion, nine hundred seven billion, seven million, three hundred eighty-one thousand, five hundred four".