102874752 has 192 divisors, whose sum is σ = 325665600. Its totient is φ = 31961088.

The previous prime is 102874747. The next prime is 102874777. The reversal of 102874752 is 257478201.

102874752 is a `hidden beast` number, since 102 + 87 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 998733 + ... + 998835.

It is an arithmetic number, because the mean of its divisors is an integer number (1696175).

Almost surely, 2^102874752 is an apocalyptic number.

102874752 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 102874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162832800).

102874752 is an abundant number, since it is smaller than the sum of its proper divisors (222790848).

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

102874752 is a wasteful number, since it uses less digits than its factorization.

102874752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 102874752 is about 10142.7191620393. The cubic root of 102874752 is about 468.5647357476.

The spelling of 102874752 in words is "one hundred two million, eight hundred seventy-four thousand, seven hundred fifty-two".