102555072 has 140 divisors (see below), whose sum is σ = 309306976. Its totient is φ = 33592320.

The previous prime is 102555023. The next prime is 102555077. The reversal of 102555072 is 270555201.

It is a happy number.

102555072 is a `hidden beast` number, since 102 + 5 + 550 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102555077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 378297 + ... + 378567.

Almost surely, 2^102555072 is an apocalyptic number.

102555072 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 102555072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154653488).

102555072 is an abundant number, since it is smaller than the sum of its proper divisors (206751904).

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

102555072 is an equidigital number, since it uses as much as digits as its factorization.

102555072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 102555072 is about 10126.9478126433. The cubic root of 102555072 is about 468.0788821670.

The spelling of 102555072 in words is "one hundred two million, five hundred fifty-five thousand, seventy-two".