102038040 has 96 divisors (see below), whose sum is σ = 357149520. Its totient is φ = 25115904.

The previous prime is 102038039. The next prime is 102038047. The reversal of 102038040 is 40830201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102038047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6222 + ... + 15581.

Almost surely, 2^102038040 is an apocalyptic number.

102038040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102038040 is an abundant number, since it is smaller than the sum of its proper divisors (255111480).

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

102038040 is a wasteful number, since it uses less digits than its factorization.

102038040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21833 (or 21826 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102038040 is about 10101.3880234352. The cubic root of 102038040 is about 467.2909490755.

Adding to 102038040 its reverse (40830201), we get a palindrome (142868241).

It can be divided in two parts, 1020 and 38040, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 102038040 in words is "one hundred two million, thirty-eight thousand, forty".