102879504 has 160 divisors (see below), whose sum is σ = 363587840. Its totient is φ = 27122688.

The previous prime is 102879503. The next prime is 102879523. The reversal of 102879504 is 405978201.

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

It is not an unprimeable number, because it can be changed into a prime (102879503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38004 + ... + 40620.

It is an arithmetic number, because the mean of its divisors is an integer number (2272424).

Almost surely, 2^102879504 is an apocalyptic number.

102879504 is a gapful number since it is divisible by the number (14) 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 102879504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181793920).

102879504 is an abundant number, since it is smaller than the sum of its proper divisors (260708336).

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

102879504 is a wasteful number, since it uses less digits than its factorization.

102879504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102879504 is about 10142.9534160421. The cubic root of 102879504 is about 468.5719502983.

It can be divided in two parts, 10287 and 9504, that added together give a palindrome (19791).

The spelling of 102879504 in words is "one hundred two million, eight hundred seventy-nine thousand, five hundred four".