102437040 has 80 divisors (see below), whose sum is σ = 318693888. Its totient is φ = 27218688.

The previous prime is 102437033. The next prime is 102437047. The reversal of 102437040 is 40734201.

It is an interprime number because it is at equal distance from previous prime (102437033) and next prime (102437047).

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

It is a junction number, because it is equal to n+sod(n) for n = 102436998 and 102437016.

It is not an unprimeable number, because it can be changed into a prime (102437047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87499 + ... + 88661.

Almost surely, 2^102437040 is an apocalyptic number.

102437040 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 102437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159346944).

102437040 is an abundant number, since it is smaller than the sum of its proper divisors (216256848).

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

102437040 is a wasteful number, since it uses less digits than its factorization.

102437040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 102437040 is about 10121.1185152630. The cubic root of 102437040 is about 467.8992404895.

The spelling of 102437040 in words is "one hundred two million, four hundred thirty-seven thousand, forty".