105263157948 has 48 divisors (see below), whose sum is σ = 264970882176. Its totient is φ = 32331913920.

The previous prime is 105263157913. The next prime is 105263157953. The reversal of 105263157948 is 849751362501.

105263157948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105263157948² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105263157948.

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, 501786 + ... + 679937.

It is an arithmetic number, because the mean of its divisors is an integer number (5520226712).

It is a 1-persistent number, because it is pandigital, but 2⋅105263157948 = 210526315896 is not.

Almost surely, 2^105263157948 is an apocalyptic number.

It is an amenable number.

105263157948 is an abundant number, since it is smaller than the sum of its proper divisors (159707724228).

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

105263157948 is a wasteful number, since it uses less digits than its factorization.

105263157948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182314 (or 1182312 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 105263157948 in words is "one hundred five billion, two hundred sixty-three million, one hundred fifty-seven thousand, nine hundred forty-eight".