102711400 has 48 divisors (see below), whose sum is σ = 260519040. Its totient is φ = 37348800.

The previous prime is 102711383. The next prime is 102711407. The reversal of 102711400 is 4117201.

It is not an unprimeable number, because it can be changed into a prime (102711407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21144 + ... + 25543.

It is an arithmetic number, because the mean of its divisors is an integer number (5427480).

Almost surely, 2^102711400 is an apocalyptic number.

102711400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102711400 is an abundant number, since it is smaller than the sum of its proper divisors (157807640).

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

102711400 is a wasteful number, since it uses less digits than its factorization.

102711400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46714 (or 46705 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 102711400 is about 10134.6632899174. The cubic root of 102711400 is about 468.3165973286.

Adding to 102711400 its reverse (4117201), we get a palindrome (106828601).

The spelling of 102711400 in words is "one hundred two million, seven hundred eleven thousand, four hundred".