105012435400 has 48 divisors (see below), whose sum is σ = 244592509140. Its totient is φ = 41929516800.

The previous prime is 105012435397. The next prime is 105012435413. The reversal of 105012435400 is 4534210501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11279714436 + 93732720964 = 106206^2 + 306158^2 .

It is a super-2 number, since 2×105012435400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359931 + ... + 582730.

Almost surely, 2^105012435400 is an apocalyptic number.

105012435400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105012435400 is an abundant number, since it is smaller than the sum of its proper divisors (139580073740).

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

105012435400 is a wasteful number, since it uses less digits than its factorization.

105012435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943234 (or 943225 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 105012435400 its reverse (4534210501), we get a palindrome (109546645901).

The spelling of 105012435400 in words is "one hundred five billion, twelve million, four hundred thirty-five thousand, four hundred".