102087114 has 32 divisors (see below), whose sum is σ = 215784000. Its totient is φ = 32108544.

The previous prime is 102087103. The next prime is 102087119. The reversal of 102087114 is 411780201.

It is not an unprimeable number, because it can be changed into a prime (102087119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29002 + ... + 32330.

It is an arithmetic number, because the mean of its divisors is an integer number (6743250).

Almost surely, 2^102087114 is an apocalyptic number.

102087114 is an abundant number, since it is smaller than the sum of its proper divisors (113696886).

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

102087114 is a wasteful number, since it uses less digits than its factorization.

102087114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 102087114 is about 10103.8168035649. The cubic root of 102087114 is about 467.3658497719.

It can be divided in two parts, 102087 and 114, that added together give a palindrome (102201).

The spelling of 102087114 in words is "one hundred two million, eighty-seven thousand, one hundred fourteen".