101505752240 has 40 divisors (see below), whose sum is σ = 237031488240. Its totient is φ = 40424990976.

The previous prime is 101505752167. The next prime is 101505752287. The reversal of 101505752240 is 42257505101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 101505752197 and 101505752206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2752034 + ... + 2788673.

It is an arithmetic number, because the mean of its divisors is an integer number (5925787206).

Almost surely, 2^101505752240 is an apocalyptic number.

101505752240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101505752240 is an abundant number, since it is smaller than the sum of its proper divisors (135525736000).

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

101505752240 is a wasteful number, since it uses less digits than its factorization.

101505752240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540949 (or 5540943 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The spelling of 101505752240 in words is "one hundred one billion, five hundred five million, seven hundred fifty-two thousand, two hundred forty".