100093513537089 has 96 divisors (see below), whose sum is σ = 151207148252160. Its totient is φ = 63742934002176.

The previous prime is 100093513537081. The next prime is 100093513537117. The reversal of 100093513537089 is 980735315390001.

100093513537089 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 3 + 513 + 53 + 70 + 8 + 9 = 666.

It is not a de Polignac number, because 100093513537089 - 2³ = 100093513537081 is a prime.

It is a super-3 number, since 3×100093513537089³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100093513537081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12745891087 + ... + 12745898939.

It is an arithmetic number, because the mean of its divisors is an integer number (1575074460960).

Almost surely, 2^{100093513537089} is an apocalyptic number.

It is an amenable number.

100093513537089 is a deficient number, since it is larger than the sum of its proper divisors (51113634715071).

100093513537089 is a wasteful number, since it uses less digits than its factorization.

100093513537089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 100093513537089 in words is "one hundred trillion, ninety-three billion, five hundred thirteen million, five hundred thirty-seven thousand, eighty-nine".