105638473956928 has 56 divisors (see below), whose sum is σ = 236060167659264. Its totient is φ = 46468536921600.

The previous prime is 105638473956919. The next prime is 105638473956937. The reversal of 105638473956928 is 829659374836501.

It is an interprime number because it is at equal distance from previous prime (105638473956919) and next prime (105638473956937).

It is a super-2 number, since 2×105638473956928² (a number of 29 digits) contains 22 as substring.

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, 2420214475 + ... + 2420258122.

It is a 1-persistent number, because it is pandigital, but 2⋅105638473956928 = 211276947913856 is not.

Almost surely, 2^{105638473956928} is an apocalyptic number.

It is an amenable number.

105638473956928 is an abundant number, since it is smaller than the sum of its proper divisors (130421693702336).

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

105638473956928 is a wasteful number, since it uses less digits than its factorization.

105638473956928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840472651 (or 4840472641 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 76.

The spelling of 105638473956928 in words is "one hundred five trillion, six hundred thirty-eight billion, four hundred seventy-three million, nine hundred fifty-six thousand, nine hundred twenty-eight".