106350879258000 has 1200 divisors, whose sum is σ = 439466155272144. Its totient is φ = 24638614732800.

The previous prime is 106350879257977. The next prime is 106350879258007. The reversal of 106350879258000 is 852978053601.

106350879258000 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 50 + 8 + 7 + 9 + 2 + 580 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 74950366982544 + 31400512275456 = 8657388^2 + 5603616^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×106350879258000² (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 not an unprimeable number, because it can be changed into a prime (106350879258007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 608546632 + ... + 608721368.

Almost surely, 2^{106350879258000} is an apocalyptic number.

106350879258000 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 106350879258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219733077636072).

106350879258000 is an abundant number, since it is smaller than the sum of its proper divisors (333115276014144).

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

106350879258000 is a wasteful number, since it uses less digits than its factorization.

106350879258000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174819 (or 174777 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 106350879258000 in words is "one hundred six trillion, three hundred fifty billion, eight hundred seventy-nine million, two hundred fifty-eight thousand".