105087360 has 192 divisors, whose sum is σ = 390003120. Its totient is φ = 23998464.

The previous prime is 105087343. The next prime is 105087397. The reversal of 105087360 is 63780501.

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

It is a super-2 number, since 2×105087360² = 22086706463539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 93522 + ... + 94638.

Almost surely, 2^105087360 is an apocalyptic number.

105087360 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 105087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195001560).

105087360 is an abundant number, since it is smaller than the sum of its proper divisors (284915760).

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

105087360 is a wasteful number, since it uses less digits than its factorization.

105087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105087360 is about 10251.2126111987. The cubic root of 105087360 is about 471.9001991426.

It can be divided in two parts, 1050 and 87360, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 105087360 in words is "one hundred five million, eighty-seven thousand, three hundred sixty".