102457640 has 64 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 36889600.

The previous prime is 102457637. The next prime is 102457643. The reversal of 102457640 is 46754201.

It is an interprime number because it is at equal distance from previous prime (102457637) and next prime (102457643).

It is not an unprimeable number, because it can be changed into a prime (102457643) 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, 12365 + ... + 18915.

It is an arithmetic number, because the mean of its divisors is an integer number (3980340).

Almost surely, 2^102457640 is an apocalyptic number.

102457640 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 102457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

102457640 is an abundant number, since it is smaller than the sum of its proper divisors (152284120).

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

102457640 is a wasteful number, since it uses less digits than its factorization.

102457640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 102457640 is about 10122.1361381874. The cubic root of 102457640 is about 467.9306030979.

The spelling of 102457640 in words is "one hundred two million, four hundred fifty-seven thousand, six hundred forty".