102401140 has 48 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 40113792.

The previous prime is 102401113. The next prime is 102401147. The reversal of 102401140 is 41104201.

It is a super-3 number, since 3×102401140³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102401140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102401147) 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 15 ways as a sum of consecutive naturals, for example, 233041 + ... + 233479.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^102401140 is an apocalyptic number.

102401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102401140 is an abundant number, since it is smaller than the sum of its proper divisors (117141260).

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

102401140 is a wasteful number, since it uses less digits than its factorization.

102401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 102401140 is about 10119.3448404529. The cubic root of 102401140 is about 467.8445742431.

Adding to 102401140 its reverse (41104201), we get a palindrome (143505341).

The spelling of 102401140 in words is "one hundred two million, four hundred one thousand, one hundred forty".