102094752 has 96 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 31968000.

The previous prime is 102094697. The next prime is 102094757. The reversal of 102094752 is 257490201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102094757) 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 15 ways as a sum of consecutive naturals, for example, 406627 + ... + 406877.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^102094752 is an apocalyptic number.

102094752 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 102094752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

102094752 is an abundant number, since it is smaller than the sum of its proper divisors (182403168).

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

102094752 is a wasteful number, since it uses less digits than its factorization.

102094752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 102094752 is about 10104.1947724695. The cubic root of 102094752 is about 467.3775053446.

The spelling of 102094752 in words is "one hundred two million, ninety-four thousand, seven hundred fifty-two".