106283295106560 has 6400 divisors, whose sum is σ = 504523188449280. Its totient is φ = 20965270487040.

The previous prime is 106283295106493. The next prime is 106283295106567. The reversal of 106283295106560 is 65601592382601.

106283295106560 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 3 + 2 + 9 + 510 + 65 + 60 = 666.

106283295106560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106283295106560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106283295106497 and 106283295106506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106283295106567) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1031876651469 + ... + 1031876651571.

Almost surely, 2^{106283295106560} is an apocalyptic number.

106283295106560 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 106283295106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252261594224640).

106283295106560 is an abundant number, since it is smaller than the sum of its proper divisors (398239893342720).

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

106283295106560 is a wasteful number, since it uses less digits than its factorization.

106283295106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 106283295106560 in words is "one hundred six trillion, two hundred eighty-three billion, two hundred ninety-five million, one hundred six thousand, five hundred sixty".