102876480 has 378 divisors, whose sum is σ = 427433994. Its totient is φ = 23514624.

The previous prime is 102876463. The next prime is 102876547. The reversal of 102876480 is 84678201.

102876480 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 648 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 20575296 = 9072^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (378).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14696637 + ... + 14696643.

Almost surely, 2^102876480 is an apocalyptic number.

102876480 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 102876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213716997).

102876480 is an abundant number, since it is smaller than the sum of its proper divisors (324557514).

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

102876480 is an frugal number, since it uses more digits than its factorization.

102876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 102876480 is about 10142.8043459390. The cubic root of 102876480 is about 468.5673592463.

The spelling of 102876480 in words is "one hundred two million, eight hundred seventy-six thousand, four hundred eighty".