102006311 has 16 divisors (see below), whose sum is σ = 120130560. Its totient is φ = 85636320.

The previous prime is 102006293. The next prime is 102006323. The reversal of 102006311 is 113600201.

It is not a de Polignac number, because 102006311 - 2²² = 97812007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102006011) 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, 386 + ... + 14288.

It is an arithmetic number, because the mean of its divisors is an integer number (7508160).

Almost surely, 2^102006311 is an apocalyptic number.

102006311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102006311 is a deficient number, since it is larger than the sum of its proper divisors (18124249).

102006311 is a wasteful number, since it uses less digits than its factorization.

102006311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13966.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 102006311 is about 10099.8173745865. The cubic root of 102006311 is about 467.2425089331.

Adding to 102006311 its reverse (113600201), we get a palindrome (215606512).

The spelling of 102006311 in words is "one hundred two million, six thousand, three hundred eleven".