102011540 has 24 divisors (see below), whose sum is σ = 214712232. Its totient is φ = 40711680.

The previous prime is 102011527. The next prime is 102011549. The reversal of 102011540 is 45110201.

It can be written as a sum of positive squares in 4 ways, for example, as 4318084 + 97693456 = 2078^2 + 9884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3560 + ... + 14720.

It is an arithmetic number, because the mean of its divisors is an integer number (8946343).

Almost surely, 2^102011540 is an apocalyptic number.

102011540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011540 is an abundant number, since it is smaller than the sum of its proper divisors (112700692).

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

102011540 is a wasteful number, since it uses less digits than its factorization.

102011540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11627 (or 11625 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 102011540 is about 10100.0762373360. The cubic root of 102011540 is about 467.2504926526.

Adding to 102011540 its reverse (45110201), we get a palindrome (147121741).

The spelling of 102011540 in words is "one hundred two million, eleven thousand, five hundred forty".