105488129750264 has 32 divisors (see below), whose sum is σ = 199063632445200. Its totient is φ = 52404993442560.

The previous prime is 105488129750161. The next prime is 105488129750279. The reversal of 105488129750264 is 462057921884501.

It is a happy number.

It is a super-2 number, since 2×105488129750264² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105488129750197 and 105488129750206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29496317 + ... + 32878700.

Almost surely, 2^{105488129750264} is an apocalyptic number.

It is an amenable number.

105488129750264 is a deficient number, since it is larger than the sum of its proper divisors (93575502694936).

105488129750264 is a wasteful number, since it uses less digits than its factorization.

105488129750264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62376383 (or 62376379 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 62.

The spelling of 105488129750264 in words is "one hundred five trillion, four hundred eighty-eight billion, one hundred twenty-nine million, seven hundred fifty thousand, two hundred sixty-four".