106516933770240 has 2816 divisors, whose sum is σ = 463675251916800. Its totient is φ = 22650289127424.

The previous prime is 106516933770229. The next prime is 106516933770263. The reversal of 106516933770240 is 42077339615601.

106516933770240 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 69 + 337 + 7 + 0 + 240 = 666.

106516933770240 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 2×106516933770240² (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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 346960696167 + ... + 346960696473.

It is an arithmetic number, because the mean of its divisors is an integer number (164657404800).

Almost surely, 2^{106516933770240} is an apocalyptic number.

106516933770240 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 106516933770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231837625958400).

106516933770240 is an abundant number, since it is smaller than the sum of its proper divisors (357158318146560).

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

106516933770240 is a wasteful number, since it uses less digits than its factorization.

106516933770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 106516933770240 in words is "one hundred six trillion, five hundred sixteen billion, nine hundred thirty-three million, seven hundred seventy thousand, two hundred forty".