87780105 has 48 divisors (see below), whose sum is σ = 180345984. Its totient is φ = 40124160.

The previous prime is 87780101. The next prime is 87780107. The reversal of 87780105 is 50108778.

It is not a de Polignac number, because 87780105 - 2² = 87780101 is a prime.

It is a super-2 number, since 2×87780105² = 15410693667622050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87780105.

It is not an unprimeable number, because it can be changed into a prime (87780101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3345 + ... + 13665.

It is an arithmetic number, because the mean of its divisors is an integer number (3757208).

Almost surely, 2^87780105 is an apocalyptic number.

It is an amenable number.

87780105 is an abundant number, since it is smaller than the sum of its proper divisors (92565879).

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

87780105 is a wasteful number, since it uses less digits than its factorization.

87780105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 87780105 is about 9369.1037458233. The cubic root of 87780105 is about 444.4252226525.

The spelling of 87780105 in words is "eighty-seven million, seven hundred eighty thousand, one hundred five".