102831120 has 200 divisors, whose sum is σ = 408348864. Its totient is φ = 23493888.

The previous prime is 102831119. The next prime is 102831133. The reversal of 102831120 is 21138201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102831093 and 102831102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44227 + ... + 46493.

Almost surely, 2^102831120 is an apocalyptic number.

102831120 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 102831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204174432).

102831120 is an abundant number, since it is smaller than the sum of its proper divisors (305517744).

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

102831120 is a wasteful number, since it uses less digits than its factorization.

102831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102831120 is about 10140.5680314270. The cubic root of 102831120 is about 468.4984826674.

Adding to 102831120 its reverse (21138201), we get a palindrome (123969321).

The spelling of 102831120 in words is "one hundred two million, eight hundred thirty-one thousand, one hundred twenty".