102344100 has 72 divisors (see below), whose sum is σ = 298835040. Its totient is φ = 27041280.

The previous prime is 102344087. The next prime is 102344107. The reversal of 102344100 is 1443201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102344100.

It is not an unprimeable number, because it can be changed into a prime (102344107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32391 + ... + 35409.

Almost surely, 2^102344100 is an apocalyptic number.

102344100 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 102344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149417520).

102344100 is an abundant number, since it is smaller than the sum of its proper divisors (196490940).

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

102344100 is a wasteful number, since it uses less digits than its factorization.

102344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102344100 is about 10116.5260835921. The cubic root of 102344100 is about 467.7576910602.

Adding to 102344100 its reverse (1443201), we get a palindrome (103787301).

The spelling of 102344100 in words is "one hundred two million, three hundred forty-four thousand, one hundred".