105287040 has 192 divisors, whose sum is σ = 377591760. Its totient is φ = 28035072.

The previous prime is 105287033. The next prime is 105287059. The reversal of 105287040 is 40782501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105287040² = 22170721583923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105286995 and 105287013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155182 + ... + 155858.

Almost surely, 2^105287040 is an apocalyptic number.

105287040 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 105287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188795880).

105287040 is an abundant number, since it is smaller than the sum of its proper divisors (272304720).

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

105287040 is an frugal number, since it uses more digits than its factorization.

105287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105287040 is about 10260.9473246869. The cubic root of 105287040 is about 472.1989011372.

The spelling of 105287040 in words is "one hundred five million, two hundred eighty-seven thousand, forty".