105087006264 has 64 divisors (see below), whose sum is σ = 263928551040. Its totient is φ = 34867843200.

The previous prime is 105087006257. The next prime is 105087006287. The reversal of 105087006264 is 462600780501.

It is a super-2 number, since 2×105087006264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5686239 + ... + 5704689.

It is an arithmetic number, because the mean of its divisors is an integer number (4123883610).

Almost surely, 2^105087006264 is an apocalyptic number.

It is an amenable number.

105087006264 is an abundant number, since it is smaller than the sum of its proper divisors (158841544776).

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

105087006264 is a wasteful number, since it uses less digits than its factorization.

105087006264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19540 (or 19536 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 105087006264 its reverse (462600780501), we get a palindrome (567687786765).

The spelling of 105087006264 in words is "one hundred five billion, eighty-seven million, six thousand, two hundred sixty-four".