87249310101 has 12 divisors (see below), whose sum is σ = 126031581312. Its totient is φ = 58163991336.

The previous prime is 87249310097. The next prime is 87249310111. The reversal of 87249310101 is 10101394278.

It is a happy number.

It is not a de Polignac number, because 87249310101 - 2² = 87249310097 is a prime.

It is a super-2 number, since 2×87249310101² (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 (87249310111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85630 + ... + 426416.

It is an arithmetic number, because the mean of its divisors is an integer number (10502631776).

Almost surely, 2^87249310101 is an apocalyptic number.

It is an amenable number.

87249310101 is a deficient number, since it is larger than the sum of its proper divisors (38782271211).

87249310101 is a wasteful number, since it uses less digits than its factorization.

87249310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369240 (or 369237 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 87249310101 in words is "eighty-seven billion, two hundred forty-nine million, three hundred ten thousand, one hundred one".