102553864 has 48 divisors (see below), whose sum is σ = 224570880. Its totient is φ = 43777440.

The previous prime is 102553861. The next prime is 102553873. The reversal of 102553864 is 468355201.

It is not an unprimeable number, because it can be changed into a prime (102553861) 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, 168649 + ... + 169255.

It is an arithmetic number, because the mean of its divisors is an integer number (4678560).

Almost surely, 2^102553864 is an apocalyptic number.

102553864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102553864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112285440).

102553864 is an abundant number, since it is smaller than the sum of its proper divisors (122017016).

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

102553864 is a wasteful number, since it uses less digits than its factorization.

102553864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 102553864 is about 10126.8881696205. Note that the first 3 decimals coincide. The cubic root of 102553864 is about 468.0770443203.

The spelling of 102553864 in words is "one hundred two million, five hundred fifty-three thousand, eight hundred sixty-four".