102401424 has 30 divisors (see below), whose sum is σ = 286582166. Its totient is φ = 34133760.

The previous prime is 102401419. The next prime is 102401443. The reversal of 102401424 is 424104201.

102401424 is a `hidden beast` number, since 1 + 0 + 240 + 1 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 27751824 = 8640^2 + 5268^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 102401397 and 102401406.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 355417 + ... + 355704.

Almost surely, 2^102401424 is an apocalyptic number.

It is an amenable number.

102401424 is an abundant number, since it is smaller than the sum of its proper divisors (184180742).

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

102401424 is a wasteful number, since it uses less digits than its factorization.

102401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711135 (or 711126 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102401424 is about 10119.3588729721. The cubic root of 102401424 is about 467.8450067505.

Adding to 102401424 its reverse (424104201), we get a palindrome (526505625).

It can be divided in two parts, 10240 and 1424, that added together give a square (11664 = 108²).

The spelling of 102401424 in words is "one hundred two million, four hundred one thousand, four hundred twenty-four".