105124350400 has 84 divisors (see below), whose sum is σ = 267591433320. Its totient is φ = 40599731200.

The previous prime is 105124350391. The next prime is 105124350433. The reversal of 105124350400 is 4053421501.

It is a happy number.

It is a super-2 number, since 2×105124350400² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1086406 + ... + 1179205.

Almost surely, 2^105124350400 is an apocalyptic number.

105124350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105124350400 is an abundant number, since it is smaller than the sum of its proper divisors (162467082920).

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

105124350400 is a wasteful number, since it uses less digits than its factorization.

105124350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265662 (or 2265647 counting only the distinct ones).

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

Adding to 105124350400 its reverse (4053421501), we get a palindrome (109177771901).

The spelling of 105124350400 in words is "one hundred five billion, one hundred twenty-four million, three hundred fifty thousand, four hundred".