102007440 has 60 divisors (see below), whose sum is σ = 342577404. Its totient is φ = 27201792.

The previous prime is 102007421. The next prime is 102007459. The reversal of 102007440 is 44700201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102007421) and next prime (102007459).

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 81649296 = 4512^2 + 9036^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70119 + ... + 71558.

Almost surely, 2^102007440 is an apocalyptic number.

102007440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102007440 is an abundant number, since it is smaller than the sum of its proper divisors (240569964).

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

102007440 is a wasteful number, since it uses less digits than its factorization.

102007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141696 (or 141687 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 102007440 is about 10099.8732665316. The cubic root of 102007440 is about 467.2442327311.

Adding to 102007440 its reverse (44700201), we get a palindrome (146707641).

The spelling of 102007440 in words is "one hundred two million, seven thousand, four hundred forty".