102400001 has 12 divisors (see below), whose sum is σ = 115306212. Its totient is φ = 90816000.

The previous prime is 102399989. The next prime is 102400007. The reversal of 102400001 is 100004201.

It is a Cunningham number, because it is equal to 40⁵+1.

It can be written as a sum of positive squares in 2 ways, for example, as 9759376 + 92640625 = 3124^2 + 9625^2 .

It is not a de Polignac number, because 102400001 - 2⁶ = 102399937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5360 + ... + 15281.

It is an arithmetic number, because the mean of its divisors is an integer number (9608851).

It is a Proth number, since it is equal to 3125 ⋅ 2¹⁵ + 1 and 3125 < 2¹⁵.

Almost surely, 2^102400001 is an apocalyptic number.

102400001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102400001 is a deficient number, since it is larger than the sum of its proper divisors (12906211).

102400001 is a wasteful number, since it uses less digits than its factorization.

102400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20704 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 102400001 is about 10119.2885619494. The cubic root of 102400001 is about 467.8428396370.

Adding to 102400001 its reverse (100004201), we get a palindrome (202404202).

The spelling of 102400001 in words is "one hundred two million, four hundred thousand, one".