105171840 has 288 divisors, whose sum is σ = 395015400. Its totient is φ = 25712640.

The previous prime is 105171827. The next prime is 105171841. The reversal of 105171840 is 48171501.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105171840² = 22122231857971200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105171841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3392625 + ... + 3392655.

Almost surely, 2^105171840 is an apocalyptic number.

105171840 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 105171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197507700).

105171840 is an abundant number, since it is smaller than the sum of its proper divisors (289843560).

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

105171840 is a wasteful number, since it uses less digits than its factorization.

105171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 105171840 is about 10255.3322715551. The cubic root of 105171840 is about 472.0266192016.

The spelling of 105171840 in words is "one hundred five million, one hundred seventy-one thousand, eight hundred forty".