102894480 has 120 divisors (see below), whose sum is σ = 372168888. Its totient is φ = 25325568.

The previous prime is 102894439. The next prime is 102894541. The reversal of 102894480 is 84498201.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 102576384 = 564^2 + 10128^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3864 + ... + 14856.

Almost surely, 2^102894480 is an apocalyptic number.

102894480 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 102894480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186084444).

102894480 is an abundant number, since it is smaller than the sum of its proper divisors (269274408).

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

102894480 is a wasteful number, since it uses less digits than its factorization.

102894480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102894480 is about 10143.6916356916. The cubic root of 102894480 is about 468.5946856109.

The spelling of 102894480 in words is "one hundred two million, eight hundred ninety-four thousand, four hundred eighty".