102400677 has 12 divisors (see below), whose sum is σ = 149939244. Its totient is φ = 67331520.

The previous prime is 102400663. The next prime is 102400681. The reversal of 102400677 is 776004201.

It can be written as a sum of positive squares in 2 ways, for example, as 85211361 + 17189316 = 9231^2 + 4146^2 .

It is not a de Polignac number, because 102400677 - 2⁷ = 102400549 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102400677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77274 + ... + 78587.

It is an arithmetic number, because the mean of its divisors is an integer number (12494937).

Almost surely, 2^102400677 is an apocalyptic number.

It is an amenable number.

102400677 is a deficient number, since it is larger than the sum of its proper divisors (47538567).

102400677 is a wasteful number, since it uses less digits than its factorization.

102400677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155940 (or 155937 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 102400677 is about 10119.3219634519. The cubic root of 102400677 is about 467.8438691326.

Adding to 102400677 its reverse (776004201), we get a palindrome (878404878).

The spelling of 102400677 in words is "one hundred two million, four hundred thousand, six hundred seventy-seven".