102038640 has 80 divisors (see below), whose sum is σ = 345085056. Its totient is φ = 24736000.

The previous prime is 102038633. The next prime is 102038647. The reversal of 102038640 is 46830201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102038633) and next prime (102038647).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102038640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102038647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16686 + ... + 21965.

Almost surely, 2^102038640 is an apocalyptic number.

102038640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102038640 is an abundant number, since it is smaller than the sum of its proper divisors (243046416).

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

102038640 is a wasteful number, since it uses less digits than its factorization.

102038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38678 (or 38672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 102038640 is about 10101.4177222804. The cubic root of 102038640 is about 467.2918649889.

Adding to 102038640 its reverse (46830201), we get a palindrome (148868841).

The spelling of 102038640 in words is "one hundred two million, thirty-eight thousand, six hundred forty".