102033120 has 96 divisors (see below), whose sum is σ = 367331328. Its totient is φ = 23321088.

The previous prime is 102033119. The next prime is 102033131. The reversal of 102033120 is 21330201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102033096 and 102033105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11824 + ... + 18543.

It is an arithmetic number, because the mean of its divisors is an integer number (3826368).

Almost surely, 2^102033120 is an apocalyptic number.

102033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102033120 is an abundant number, since it is smaller than the sum of its proper divisors (265298208).

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

102033120 is a wasteful number, since it uses less digits than its factorization.

102033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30392 (or 30384 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102033120 is about 10101.1444896111. The cubic root of 102033120 is about 467.2834384503.

Adding to 102033120 its reverse (21330201), we get a palindrome (123363321).

The spelling of 102033120 in words is "one hundred two million, thirty-three thousand, one hundred twenty".