100526728353008 has 80 divisors (see below), whose sum is σ = 217442742297600. Its totient is φ = 44800897616640.

The previous prime is 100526728353001. The next prime is 100526728353013. The reversal of 100526728353008 is 800353827625001.

It is a super-2 number, since 2×100526728353008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100526728353001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117420968 + ... + 118273991.

It is an arithmetic number, because the mean of its divisors is an integer number (2718034278720).

Almost surely, 2^{100526728353008} is an apocalyptic number.

It is an amenable number.

100526728353008 is an abundant number, since it is smaller than the sum of its proper divisors (116916013944592).

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

100526728353008 is a wasteful number, since it uses less digits than its factorization.

100526728353008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235695070 (or 235695064 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 100526728353008 in words is "one hundred trillion, five hundred twenty-six billion, seven hundred twenty-eight million, three hundred fifty-three thousand, eight".