105087720 has 32 divisors (see below), whose sum is σ = 315263520. Its totient is φ = 28023360.

The previous prime is 105087709. The next prime is 105087751. The reversal of 105087720 is 27780501.

It is a happy number.

It is a super-2 number, since 2×105087720² = 22086857789596800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437746 + ... + 437985.

It is an arithmetic number, because the mean of its divisors is an integer number (9851985).

Almost surely, 2^105087720 is an apocalyptic number.

105087720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105087720 is an abundant number, since it is smaller than the sum of its proper divisors (210175800).

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

105087720 is a wasteful number, since it uses less digits than its factorization.

105087720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875745 (or 875741 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 105087720 is about 10251.2301700820. The cubic root of 105087720 is about 471.9007380081.

The spelling of 105087720 in words is "one hundred five million, eighty-seven thousand, seven hundred twenty".