102959280 has 120 divisors (see below), whose sum is σ = 357767280. Its totient is φ = 26503680.

The previous prime is 102959267. The next prime is 102959287. The reversal of 102959280 is 82959201.

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

It is a super-2 number, since 2×102959280² = 21201226676236800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102959287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18415 + ... + 23345.

It is an arithmetic number, because the mean of its divisors is an integer number (2981394).

Almost surely, 2^102959280 is an apocalyptic number.

102959280 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 102959280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178883640).

102959280 is an abundant number, since it is smaller than the sum of its proper divisors (254808000).

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

102959280 is a wasteful number, since it uses less digits than its factorization.

102959280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 102959280 is about 10146.8852363669. The cubic root of 102959280 is about 468.6930341440.

The spelling of 102959280 in words is "one hundred two million, nine hundred fifty-nine thousand, two hundred eighty".