102114030 has 64 divisors (see below), whose sum is σ = 251693568. Its totient is φ = 26505600.

The previous prime is 102114029. The next prime is 102114091. The reversal of 102114030 is 30411201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102113997 and 102114015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202759 + ... + 203261.

It is an arithmetic number, because the mean of its divisors is an integer number (3932712).

Almost surely, 2^102114030 is an apocalyptic number.

102114030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102114030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125846784).

102114030 is an abundant number, since it is smaller than the sum of its proper divisors (149579538).

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

102114030 is a wasteful number, since it uses less digits than its factorization.

102114030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102114030 is about 10105.1486876740. The cubic root of 102114030 is about 467.4069209490.

Adding to 102114030 its reverse (30411201), we get a palindrome (132525231).

It can be divided in two parts, 10211 and 4030, that added together give a palindrome (14241).

The spelling of 102114030 in words is "one hundred two million, one hundred fourteen thousand, thirty".