102033040 has 60 divisors (see below), whose sum is σ = 250440444. Its totient is φ = 38654208.

The previous prime is 102033017. The next prime is 102033077. The reversal of 102033040 is 40330201.

It can be written as a sum of positive squares in 2 ways, for example, as 61277584 + 40755456 = 7828^2 + 6384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102033040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27114 + ... + 30646.

Almost surely, 2^102033040 is an apocalyptic number.

102033040 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 102033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125220222).

102033040 is an abundant number, since it is smaller than the sum of its proper divisors (148407404).

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

102033040 is a wasteful number, since it uses less digits than its factorization.

102033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 102033040 is about 10101.1405296630. The cubic root of 102033040 is about 467.2833163244.

Adding to 102033040 its reverse (40330201), we get a palindrome (142363241).

The spelling of 102033040 in words is "one hundred two million, thirty-three thousand, forty".