102042440 has 64 divisors (see below), whose sum is σ = 240831360. Its totient is φ = 38868480.

The previous prime is 102042433. The next prime is 102042461. The reversal of 102042440 is 44240201.

It is a super-2 number, since 2×102042440² = 20825319122307200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69797 + ... + 71243.

It is an arithmetic number, because the mean of its divisors is an integer number (3762990).

Almost surely, 2^102042440 is an apocalyptic number.

102042440 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 102042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120415680).

102042440 is an abundant number, since it is smaller than the sum of its proper divisors (138788920).

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

102042440 is a wasteful number, since it uses less digits than its factorization.

102042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 102042440 is about 10101.6058129389. The cubic root of 102042440 is about 467.2976656903.

Adding to 102042440 its reverse (44240201), we get a palindrome (146282641).

The spelling of 102042440 in words is "one hundred two million, forty-two thousand, four hundred forty".