102400389 has 64 divisors (see below), whose sum is σ = 189665280. Its totient is φ = 53161920.

The previous prime is 102400387. The next prime is 102400427. The reversal of 102400389 is 983004201.

It is not a de Polignac number, because 102400389 - 2¹ = 102400387 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174154 + ... + 174740.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^102400389 is an apocalyptic number.

It is an amenable number.

102400389 is a deficient number, since it is larger than the sum of its proper divisors (87264891).

102400389 is a wasteful number, since it uses less digits than its factorization.

102400389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102400389 is about 10119.3077332395. The cubic root of 102400389 is about 467.8434305315.

The spelling of 102400389 in words is "one hundred two million, four hundred thousand, three hundred eighty-nine".