101431660640 has 48 divisors (see below), whose sum is σ = 240062728752. Its totient is φ = 40499787264.

The previous prime is 101431660637. The next prime is 101431660667. The reversal of 101431660640 is 46066134101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 101431660597 and 101431660606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479954 + ... + 658193.

It is an arithmetic number, because the mean of its divisors is an integer number (5001306849).

Almost surely, 2^101431660640 is an apocalyptic number.

101431660640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101431660640 is an abundant number, since it is smaller than the sum of its proper divisors (138631068112).

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

101431660640 is a wasteful number, since it uses less digits than its factorization.

101431660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138719 (or 1138711 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 101431660640 its reverse (46066134101), we get a palindrome (147497794741).

The spelling of 101431660640 in words is "one hundred one billion, four hundred thirty-one million, six hundred sixty thousand, six hundred forty".