102400441 has 8 divisors (see below), whose sum is σ = 120302784. Its totient is φ = 85930320.

The previous prime is 102400433. The next prime is 102400489. The reversal of 102400441 is 144004201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102400441 - 2³ = 102400433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102400541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357901 + ... + 358186.

It is an arithmetic number, because the mean of its divisors is an integer number (15037848).

Almost surely, 2^102400441 is an apocalyptic number.

102400441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102400441 is a deficient number, since it is larger than the sum of its proper divisors (17902343).

102400441 is a wasteful number, since it uses less digits than its factorization.

102400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716111.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 102400441 is about 10119.3103025849. The cubic root of 102400441 is about 467.8435097234.

Adding to 102400441 its reverse (144004201), we get a palindrome (246404642).

It can be divided in two parts, 102400 and 441, that multiplied together give a square (45158400 = 6720²).

The spelling of 102400441 in words is "one hundred two million, four hundred thousand, four hundred forty-one".