102354552 has 72 divisors (see below), whose sum is σ = 294535800. Its totient is φ = 32104704.

The previous prime is 102354517. The next prime is 102354563. The reversal of 102354552 is 255453201.

It is a happy number.

102354552 is a `hidden beast` number, since 102 + 3 + 5 + 4 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18349 + ... + 23267.

It is an arithmetic number, because the mean of its divisors is an integer number (4090775).

Almost surely, 2^102354552 is an apocalyptic number.

102354552 is a gapful number since it is divisible by the number (12) 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 102354552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147267900).

102354552 is an abundant number, since it is smaller than the sum of its proper divisors (192181248).

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

102354552 is a wasteful number, since it uses less digits than its factorization.

102354552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 102354552 is about 10117.0426508936. The cubic root of 102354552 is about 467.7736139353.

The spelling of 102354552 in words is "one hundred two million, three hundred fifty-four thousand, five hundred fifty-two".