102404160 has 252 divisors, whose sum is σ = 373793004. Its totient is φ = 25712640.

The previous prime is 102404153. The next prime is 102404171. The reversal of 102404160 is 61404201.

102404160 is a `hidden beast` number, since 10 + 240 + 416 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66977856 + 35426304 = 8184^2 + 5952^2 .

It is a super-2 number, since 2×102404160² = 20973223970611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2767662 + ... + 2767698.

Almost surely, 2^102404160 is an apocalyptic number.

102404160 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 102404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186896502).

102404160 is an abundant number, since it is smaller than the sum of its proper divisors (271388844).

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

102404160 is a wasteful number, since it uses less digits than its factorization.

102404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102404160 is about 10119.4940584992. The cubic root of 102404160 is about 467.8491734000.

Adding to 102404160 its reverse (61404201), we get a palindrome (163808361).

It can be divided in two parts, 10240 and 4160, that added together give a square (14400 = 120²).

The spelling of 102404160 in words is "one hundred two million, four hundred four thousand, one hundred sixty".