105131712 has 224 divisors, whose sum is σ = 351129600. Its totient is φ = 27067392.

The previous prime is 105131683. The next prime is 105131717. The reversal of 105131712 is 217131501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105131712² = 22105353736101888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105131717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587239 + ... + 587417.

Almost surely, 2^105131712 is an apocalyptic number.

105131712 is a gapful number since it is divisible by the number (12) 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 105131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

105131712 is an abundant number, since it is smaller than the sum of its proper divisors (245997888).

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

105131712 is a wasteful number, since it uses less digits than its factorization.

105131712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 105131712 is about 10253.3756392712. The cubic root of 105131712 is about 471.9665781180.

The spelling of 105131712 in words is "one hundred five million, one hundred thirty-one thousand, seven hundred twelve".