10206780102144 has 640 divisors, whose sum is σ = 31069868544000. Its totient is φ = 3307589074944.

The previous prime is 10206780102097. The next prime is 10206780102151. The reversal of 10206780102144 is 44120108760201.

It is a happy number.

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 = 10206780102099 and 10206780102108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30287181144 + ... + 30287181480.

It is an arithmetic number, because the mean of its divisors is an integer number (48546669600).

Almost surely, 2^{10206780102144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206780102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534934272000).

10206780102144 is an abundant number, since it is smaller than the sum of its proper divisors (20863088441856).

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

10206780102144 is a wasteful number, since it uses less digits than its factorization.

10206780102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 10206780102144 its reverse (44120108760201), we get a palindrome (54326888862345).

The spelling of 10206780102144 in words is "ten trillion, two hundred six billion, seven hundred eighty million, one hundred two thousand, one hundred forty-four".