105858128464 has 80 divisors (see below), whose sum is σ = 226316514816. Its totient is φ = 47565619200.

The previous prime is 105858128443. The next prime is 105858128479. The reversal of 105858128464 is 464821858501.

It is a super-2 number, since 2×105858128464² (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, 16915224 + ... + 16921480.

Almost surely, 2^105858128464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105858128464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113158257408).

105858128464 is an abundant number, since it is smaller than the sum of its proper divisors (120458386352).

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

105858128464 is a wasteful number, since it uses less digits than its factorization.

105858128464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7364 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 52.

The spelling of 105858128464 in words is "one hundred five billion, eight hundred fifty-eight million, one hundred twenty-eight thousand, four hundred sixty-four".