102887520 has 96 divisors (see below), whose sum is σ = 328769280. Its totient is φ = 27041280.

The previous prime is 102887513. The next prime is 102887537. The reversal of 102887520 is 25788201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32571 + ... + 35589.

It is an arithmetic number, because the mean of its divisors is an integer number (3424680).

Almost surely, 2^102887520 is an apocalyptic number.

102887520 is a gapful number since it is divisible by the number (10) 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 102887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164384640).

102887520 is an abundant number, since it is smaller than the sum of its proper divisors (225881760).

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

102887520 is a wasteful number, since it uses less digits than its factorization.

102887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 102887520 is about 10143.3485595241. The cubic root of 102887520 is about 468.5841197945.

It can be divided in two parts, 1028875 and 20, that added together give a triangular number (1028895 = T₁₄₃₄).

The spelling of 102887520 in words is "one hundred two million, eight hundred eighty-seven thousand, five hundred twenty".