105562770852 has 384 divisors, whose sum is σ = 343421890560. Its totient is φ = 24365629440.

The previous prime is 105562770851. The next prime is 105562770877. The reversal of 105562770852 is 258077265501.

It is a super-2 number, since 2×105562770852² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105562770851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172206498 + ... + 172207110.

It is an arithmetic number, because the mean of its divisors is an integer number (894327840).

Almost surely, 2^105562770852 is an apocalyptic number.

105562770852 is a gapful number since it is divisible by the number (12) 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 105562770852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171710945280).

105562770852 is an abundant number, since it is smaller than the sum of its proper divisors (237859119708).

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

105562770852 is a wasteful number, since it uses less digits than its factorization.

105562770852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 105562770852 in words is "one hundred five billion, five hundred sixty-two million, seven hundred seventy thousand, eight hundred fifty-two".