102124100 has 72 divisors (see below), whose sum is σ = 252749448. Its totient is φ = 35481600.

The previous prime is 102124093. The next prime is 102124123. The reversal of 102124100 is 1421201.

It can be written as a sum of positive squares in 12 ways, for example, as 37063744 + 65060356 = 6088^2 + 8066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19790 + ... + 24410.

It is an arithmetic number, because the mean of its divisors is an integer number (3510409).

Almost surely, 2^102124100 is an apocalyptic number.

102124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126374724).

102124100 is an abundant number, since it is smaller than the sum of its proper divisors (150625348).

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

102124100 is a wasteful number, since it uses less digits than its factorization.

102124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 102124100 is about 10105.6469362431. The cubic root of 102124100 is about 467.4222849265.

Adding to 102124100 its reverse (1421201), we get a palindrome (103545301).

The spelling of 102124100 in words is "one hundred two million, one hundred twenty-four thousand, one hundred".