102393040 has 40 divisors (see below), whose sum is σ = 252070920. Its totient is φ = 38547456.

The previous prime is 102393013. The next prime is 102393041. The reversal of 102393040 is 40393201.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 89946256 = 3528^2 + 9484^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102393041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36285 + ... + 39004.

It is an arithmetic number, because the mean of its divisors is an integer number (6301773).

Almost surely, 2^102393040 is an apocalyptic number.

102393040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102393040 is an abundant number, since it is smaller than the sum of its proper divisors (149677880).

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

102393040 is a wasteful number, since it uses less digits than its factorization.

102393040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75319 (or 75313 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 102393040 is about 10118.9446089995. The cubic root of 102393040 is about 467.8322383096.

The spelling of 102393040 in words is "one hundred two million, three hundred ninety-three thousand, forty".