105048572720 has 160 divisors (see below), whose sum is σ = 300890325120. Its totient is φ = 33214095360.

The previous prime is 105048572677. The next prime is 105048572729. The reversal of 105048572720 is 27275840501.

It is a super-2 number, since 2×105048572720² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105048572729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8212730 + ... + 8225510.

It is an arithmetic number, because the mean of its divisors is an integer number (1880564532).

Almost surely, 2^105048572720 is an apocalyptic number.

105048572720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105048572720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150445162560).

105048572720 is an abundant number, since it is smaller than the sum of its proper divisors (195841752400).

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

105048572720 is a wasteful number, since it uses less digits than its factorization.

105048572720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13943 (or 13937 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 41.

The spelling of 105048572720 in words is "one hundred five billion, forty-eight million, five hundred seventy-two thousand, seven hundred twenty".