102125400 has 96 divisors (see below), whose sum is σ = 340967760. Its totient is φ = 25136640.

The previous prime is 102125389. The next prime is 102125411. The reversal of 102125400 is 4521201.

It is an interprime number because it is at equal distance from previous prime (102125389) and next prime (102125411).

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 102125400.

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 23 ways as a sum of consecutive naturals, for example, 1254 + ... + 14346.

Almost surely, 2^102125400 is an apocalyptic number.

102125400 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 102125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170483880).

102125400 is an abundant number, since it is smaller than the sum of its proper divisors (238842360).

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

102125400 is a wasteful number, since it uses less digits than its factorization.

102125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13125 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 102125400 is about 10105.7112565123. The cubic root of 102125400 is about 467.4242682859.

Adding to 102125400 its reverse (4521201), we get a palindrome (106646601).

The spelling of 102125400 in words is "one hundred two million, one hundred twenty-five thousand, four hundred".