105578070520 has 64 divisors (see below), whose sum is σ = 257518175040. Its totient is φ = 38724480000.

The previous prime is 105578070503. The next prime is 105578070523. The reversal of 105578070520 is 25070875501.

It is a super-2 number, since 2×105578070520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105578070523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593781 + ... + 750820.

It is an arithmetic number, because the mean of its divisors is an integer number (4023721485).

Almost surely, 2^105578070520 is an apocalyptic number.

105578070520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105578070520 is an abundant number, since it is smaller than the sum of its proper divisors (151940104520).

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

105578070520 is a wasteful number, since it uses less digits than its factorization.

105578070520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344776 (or 1344772 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 40.

The spelling of 105578070520 in words is "one hundred five billion, five hundred seventy-eight million, seventy thousand, five hundred twenty".