102892512 has 48 divisors (see below), whose sum is σ = 272598480. Its totient is φ = 33979392.

The previous prime is 102892477. The next prime is 102892513. The reversal of 102892512 is 215298201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102892512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102892513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5548 + ... + 15380.

It is an arithmetic number, because the mean of its divisors is an integer number (5679135).

Almost surely, 2^102892512 is an apocalyptic number.

102892512 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 102892512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136299240).

102892512 is an abundant number, since it is smaller than the sum of its proper divisors (169705968).

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

102892512 is a wasteful number, since it uses less digits than its factorization.

102892512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 102892512 is about 10143.5946291243. The cubic root of 102892512 is about 468.5916980835.

The spelling of 102892512 in words is "one hundred two million, eight hundred ninety-two thousand, five hundred twelve".