87100107093 has 12 divisors (see below), whose sum is σ = 125814551148. Its totient is φ = 58065221760.

The previous prime is 87100107077. The next prime is 87100107109. The reversal of 87100107093 is 39070100178.

It is an interprime number because it is at equal distance from previous prime (87100107077) and next prime (87100107109).

It can be written as a sum of positive squares in 2 ways, for example, as 1708747569 + 85391359524 = 41337^2 + 292218^2 .

It is not a de Polignac number, because 87100107093 - 2⁴ = 87100107077 is a prime.

It is a super-2 number, since 2×87100107093² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87100107293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320683 + ... + 526343.

It is an arithmetic number, because the mean of its divisors is an integer number (10484545929).

Almost surely, 2^87100107093 is an apocalyptic number.

It is an amenable number.

87100107093 is a deficient number, since it is larger than the sum of its proper divisors (38714444055).

87100107093 is a wasteful number, since it uses less digits than its factorization.

87100107093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252724 (or 252721 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 87100107093 in words is "eighty-seven billion, one hundred million, one hundred seven thousand, ninety-three".