101431680 has 128 divisors (see below), whose sum is σ = 369550080. Its totient is φ = 23181312.

The previous prime is 101431669. The next prime is 101431691. The reversal of 101431680 is 86134101.

It is an interprime number because it is at equal distance from previous prime (101431669) and next prime (101431691).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101431680.

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, 9667 + ... + 17213.

It is an arithmetic number, because the mean of its divisors is an integer number (2887110).

Almost surely, 2^101431680 is an apocalyptic number.

101431680 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 101431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184775040).

101431680 is an abundant number, since it is smaller than the sum of its proper divisors (268118400).

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

101431680 is an equidigital number, since it uses as much as digits as its factorization.

101431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 101431680 is about 10071.3296043770. The cubic root of 101431680 is about 466.3634856136.

Adding to 101431680 its reverse (86134101), we get a palindrome (187565781).

The spelling of 101431680 in words is "one hundred one million, four hundred thirty-one thousand, six hundred eighty".