106297936740864 has 320 divisors, whose sum is σ = 345171461184000. Its totient is φ = 32031535288320.

The previous prime is 106297936740857. The next prime is 106297936740869. The reversal of 106297936740864 is 468047639792601.

It is a happy number.

106297936740864 is a `hidden beast` number, since 1 + 0 + 62 + 9 + 79 + 36 + 7 + 408 + 64 = 666.

It is a super-2 number, since 2×106297936740864² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 106297936740792 and 106297936740801.

It is not an unprimeable number, because it can be changed into a prime (106297936740869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25266847 + ... + 29172065.

It is an arithmetic number, because the mean of its divisors is an integer number (1078660816200).

Almost surely, 2^{106297936740864} 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 106297936740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172585730592000).

106297936740864 is an abundant number, since it is smaller than the sum of its proper divisors (238873524443136).

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

106297936740864 is a wasteful number, since it uses less digits than its factorization.

106297936740864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905436 (or 3905414 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 106297936740864 in words is "one hundred six trillion, two hundred ninety-seven billion, nine hundred thirty-six million, seven hundred forty thousand, eight hundred sixty-four".