105227747328 has 168 divisors, whose sum is σ = 306217600416. Its totient is φ = 31876710400.

The previous prime is 105227747309. The next prime is 105227747351. The reversal of 105227747328 is 823747722501.

It is a super-2 number, since 2×105227747328² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 34601488 + ... + 34604528.

It is an arithmetic number, because the mean of its divisors is an integer number (1822723812).

Almost surely, 2^105227747328 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 105227747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153108800208).

105227747328 is an abundant number, since it is smaller than the sum of its proper divisors (200989853088).

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

105227747328 is an frugal number, since it uses more digits than its factorization.

105227747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 105227747328 in words is "one hundred five billion, two hundred twenty-seven million, seven hundred forty-seven thousand, three hundred twenty-eight".