102400010 has 32 divisors (see below), whose sum is σ = 196236432. Its totient is φ = 38338560.

The previous prime is 102400007. The next prime is 102400013. The reversal of 102400010 is 10004201.

It is an interprime number because it is at equal distance from previous prime (102400007) and next prime (102400013).

It can be written as a sum of positive squares in 8 ways, for example, as 11826721 + 90573289 = 3439^2 + 9517^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102400013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31250 + ... + 34370.

Almost surely, 2^102400010 is an apocalyptic number.

102400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102400010 is a deficient number, since it is larger than the sum of its proper divisors (93836422).

102400010 is a wasteful number, since it uses less digits than its factorization.

102400010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338.

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

The square root of 102400010 is about 10119.2890066447. The cubic root of 102400010 is about 467.8428533433.

Adding to 102400010 its reverse (10004201), we get a palindrome (112404211).

The spelling of 102400010 in words is "one hundred two million, four hundred thousand, ten".