102641040 has 320 divisors, whose sum is σ = 387475200. Its totient is φ = 24883200.

The previous prime is 102641009. The next prime is 102641047. The reversal of 102641040 is 40146201.

102641040 = 68² + 69² + ... + 675².

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 (102641047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682610 + ... + 1682670.

It is an arithmetic number, because the mean of its divisors is an integer number (1210860).

Almost surely, 2^102641040 is an apocalyptic number.

102641040 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 102641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193737600).

102641040 is an abundant number, since it is smaller than the sum of its proper divisors (284834160).

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

102641040 is a wasteful number, since it uses less digits than its factorization.

102641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

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

The square root of 102641040 is about 10131.1914402996. The cubic root of 102641040 is about 468.2096365216.

Adding to 102641040 its reverse (40146201), we get a palindrome (142787241).

The spelling of 102641040 in words is "one hundred two million, six hundred forty-one thousand, forty".