105523000400 has 30 divisors (see below), whose sum is σ = 253519009422. Its totient is φ = 42209200000.

The previous prime is 105523000393. The next prime is 105523000403. The reversal of 105523000400 is 4000325501.

It can be written as a sum of positive squares in 3 ways, for example, as 30558784 + 105492441616 = 5528^2 + 324796^2 .

It is a super-2 number, since 2×105523000400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105523000403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131903351 + ... + 131904150.

Almost surely, 2^105523000400 is an apocalyptic number.

105523000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105523000400 is an abundant number, since it is smaller than the sum of its proper divisors (147996009022).

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

105523000400 is a wasteful number, since it uses less digits than its factorization.

105523000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263807519 (or 263807508 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 105523000400 its reverse (4000325501), we get a palindrome (109523325901).

The spelling of 105523000400 in words is "one hundred five billion, five hundred twenty-three million, four hundred", and thus it is an aban number.