106050360000 has 560 divisors, whose sum is σ = 380881253984. Its totient is φ = 25878528000.

The previous prime is 106050359999. The next prime is 106050360019. The reversal of 106050360000 is 63050601.

It is a super-2 number, since 2×106050360000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 244919784 + ... + 244920216.

Almost surely, 2^106050360000 is an apocalyptic number.

106050360000 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 106050360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190440626992).

106050360000 is an abundant number, since it is smaller than the sum of its proper divisors (274830893984).

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

106050360000 is a wasteful number, since it uses less digits than its factorization.

106050360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The spelling of 106050360000 in words is "one hundred six billion, fifty million, three hundred sixty thousand".