105713100 has 180 divisors, whose sum is σ = 354574528. Its totient is φ = 27216000.

The previous prime is 105713099. The next prime is 105713119. The reversal of 105713100 is 1317501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×105713100² = 22350519023220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 250890 + ... + 251310.

Almost surely, 2^105713100 is an apocalyptic number.

105713100 is a gapful number since it is divisible by the number (10) 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 105713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177287264).

105713100 is an abundant number, since it is smaller than the sum of its proper divisors (248861428).

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

105713100 is a wasteful number, since it uses less digits than its factorization.

105713100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 105713100 is about 10281.6876046688. The cubic root of 105713100 is about 472.8349854294.

The spelling of 105713100 in words is "one hundred five million, seven hundred thirteen thousand, one hundred".