101681403840 has 336 divisors, whose sum is σ = 367724314080. Its totient is φ = 26449920000.

The previous prime is 101681403779. The next prime is 101681403841. The reversal of 101681403840 is 48304186101.

It is a happy number.

101681403840 is a `hidden beast` number, since 10 + 168 + 1 + 403 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101681403795 and 101681403804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101681403841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14520340 + ... + 14527340.

Almost surely, 2^101681403840 is an apocalyptic number.

101681403840 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 101681403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183862157040).

101681403840 is an abundant number, since it is smaller than the sum of its proper divisors (266042910240).

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

101681403840 is an equidigital number, since it uses as much as digits as its factorization.

101681403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7109 (or 7052 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 101681403840 its reverse (48304186101), we get a palindrome (149985589941).

It can be divided in two parts, 101681 and 403840, that added together give a square (505521 = 711²).

The spelling of 101681403840 in words is "one hundred one billion, six hundred eighty-one million, four hundred three thousand, eight hundred forty".