102031120 has 40 divisors (see below), whose sum is σ = 237960216. Its totient is φ = 40685568.

The previous prime is 102031091. The next prime is 102031129. The reversal of 102031120 is 21130201.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 100881936 = 1072^2 + 10044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102031097 and 102031106.

It is not an unprimeable number, because it can be changed into a prime (102031129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26434 + ... + 30046.

Almost surely, 2^102031120 is an apocalyptic number.

102031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102031120 is an abundant number, since it is smaller than the sum of its proper divisors (135929096).

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

102031120 is a wasteful number, since it uses less digits than its factorization.

102031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102031120 is about 10101.0454904431. The cubic root of 102031120 is about 467.2803852817.

Adding to 102031120 its reverse (21130201), we get a palindrome (123161321).

The spelling of 102031120 in words is "one hundred two million, thirty-one thousand, one hundred twenty".