105400600 has 48 divisors (see below), whose sum is σ = 257963400. Its totient is φ = 39939840.

The previous prime is 105400591. The next prime is 105400601. The reversal of 105400600 is 6004501.

It is a super-2 number, since 2×105400600² = 22218572960720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105400601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10069 + ... + 17668.

Almost surely, 2^105400600 is an apocalyptic number.

105400600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105400600 is an abundant number, since it is smaller than the sum of its proper divisors (152562800).

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

105400600 is a wasteful number, since it uses less digits than its factorization.

105400600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27772 (or 27763 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105400600 is about 10266.4794355222. The cubic root of 105400600 is about 472.3686074941.

The spelling of 105400600 in words is "one hundred five million, four hundred thousand, six hundred".