102404000 has 48 divisors (see below), whose sum is σ = 251616456. Its totient is φ = 40960000.

The previous prime is 102403979. The next prime is 102404009. The reversal of 102404000 is 404201.

It can be written as a sum of positive squares in 4 ways, for example, as 68624656 + 33779344 = 8284^2 + 5812^2 .

It is not an unprimeable number, because it can be changed into a prime (102404009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8801 + ... + 16800.

Almost surely, 2^102404000 is an apocalyptic number.

102404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102404000 is an abundant number, since it is smaller than the sum of its proper divisors (149212456).

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

102404000 is an equidigital number, since it uses as much as digits as its factorization.

102404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25626 (or 25608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 102404000 is about 10119.4861529625. The cubic root of 102404000 is about 467.8489297384.

Adding to 102404000 its reverse (404201), we get a palindrome (102808201).

It can be divided in two parts, 10240 and 4000, that multiplied together give a 4-th power (40960000 = 80⁴).

The spelling of 102404000 in words is "one hundred two million, four hundred four thousand".