102553344 has 144 divisors (see below), whose sum is σ = 312241440. Its totient is φ = 33177600.

The previous prime is 102553337. The next prime is 102553351. The reversal of 102553344 is 443355201.

102553344 is a `hidden beast` number, since 102 + 553 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (102553337) and next prime (102553351).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 255544 + ... + 255944.

Almost surely, 2^102553344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156120720).

102553344 is an abundant number, since it is smaller than the sum of its proper divisors (209688096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102553344 is an equidigital number, since it uses as much as digits as its factorization.

102553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 102553344 is about 10126.8624953635. The cubic root of 102553344 is about 468.0762531898.

The spelling of 102553344 in words is "one hundred two million, five hundred fifty-three thousand, three hundred forty-four".