101503640 has 64 divisors (see below), whose sum is σ = 262785600. Its totient is φ = 34564608.

The previous prime is 101503637. The next prime is 101503679. The reversal of 101503640 is 46305101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 42806 + ... + 45114.

It is an arithmetic number, because the mean of its divisors is an integer number (4106025).

Almost surely, 2^101503640 is an apocalyptic number.

101503640 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 101503640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131392800).

101503640 is an abundant number, since it is smaller than the sum of its proper divisors (161281960).

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

101503640 is a wasteful number, since it uses less digits than its factorization.

101503640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 101503640 is about 10074.9014883521. The cubic root of 101503640 is about 466.4737456539.

Adding to 101503640 its reverse (46305101), we get a palindrome (147808741).

The spelling of 101503640 in words is "one hundred one million, five hundred three thousand, six hundred forty".