102124400 has 60 divisors (see below), whose sum is σ = 280412112. Its totient is φ = 35013120.

The previous prime is 102124381. The next prime is 102124409. The reversal of 102124400 is 4421201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102124409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15437 + ... + 21036.

Almost surely, 2^102124400 is an apocalyptic number.

102124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102124400 is an abundant number, since it is smaller than the sum of its proper divisors (178287712).

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

102124400 is a wasteful number, since it uses less digits than its factorization.

102124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36498 (or 36487 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 102124400 is about 10105.6617794185. The cubic root of 102124400 is about 467.4227426263.

Adding to 102124400 its reverse (4421201), we get a palindrome (106545601).

The spelling of 102124400 in words is "one hundred two million, one hundred twenty-four thousand, four hundred".