102400007 has 2 divisors, whose sum is σ = 102400008. Its totient is φ = 102400006.

The previous prime is 102399989. The next prime is 102400013. The reversal of 102400007 is 700004201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102400007 - 2⁶ = 102399943 is a prime.

It is a super-2 number, since 2×102400007² = 20971522867200098, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102399964 and 102400000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102400307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51200003 + 51200004.

It is an arithmetic number, because the mean of its divisors is an integer number (51200004).

Almost surely, 2^102400007 is an apocalyptic number.

102400007 is a deficient number, since it is larger than the sum of its proper divisors (1).

102400007 is an equidigital number, since it uses as much as digits as its factorization.

102400007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 102400007 is about 10119.2888584129. The cubic root of 102400007 is about 467.8428487745.

Adding to 102400007 its reverse (700004201), we get a palindrome (802404208).

The spelling of 102400007 in words is "one hundred two million, four hundred thousand, seven".