102545768 has 64 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 43084800.

The previous prime is 102545767. The next prime is 102545771. The reversal of 102545768 is 867545201.

It is not an unprimeable number, because it can be changed into a prime (102545767) 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, 53873 + ... + 55743.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^102545768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102545768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

102545768 is an abundant number, since it is smaller than the sum of its proper divisors (123891352).

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

102545768 is a wasteful number, since it uses less digits than its factorization.

102545768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 102545768 is about 10126.4884338057. The cubic root of 102545768 is about 468.0647267234.

It can be divided in two parts, 10 and 2545768, that multiplied together give a triangular number (25457680 = T₇₁₃₅).

The spelling of 102545768 in words is "one hundred two million, five hundred forty-five thousand, seven hundred sixty-eight".