101782704240 has 480 divisors, whose sum is σ = 404950081536. Its totient is φ = 22419486720.

The previous prime is 101782704229. The next prime is 101782704293. The reversal of 101782704240 is 42407287101.

It is a super-3 number, since 3×101782704240³ (a number of 34 digits) contains 333 as substring.

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 = 101782704195 and 101782704204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41089882 + ... + 41092358.

Almost surely, 2^101782704240 is an apocalyptic number.

101782704240 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 101782704240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202475040768).

101782704240 is an abundant number, since it is smaller than the sum of its proper divisors (303167377296).

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

101782704240 is a wasteful number, since it uses less digits than its factorization.

101782704240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 101782704240 in words is "one hundred one billion, seven hundred eighty-two million, seven hundred four thousand, two hundred forty".