105650190912 has 224 divisors, whose sum is σ = 328306176000. Its totient is φ = 29356572672.

The previous prime is 105650190901. The next prime is 105650190929. The reversal of 105650190912 is 219091056501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105650190912² (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 31 ways as a sum of consecutive naturals, for example, 13808464 + ... + 13816112.

Almost surely, 2^105650190912 is an apocalyptic number.

105650190912 is a gapful number since it is divisible by the number (12) 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 105650190912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164153088000).

105650190912 is an abundant number, since it is smaller than the sum of its proper divisors (222655985088).

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

105650190912 is a wasteful number, since it uses less digits than its factorization.

105650190912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7953 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 39.

The spelling of 105650190912 in words is "one hundred five billion, six hundred fifty million, one hundred ninety thousand, nine hundred twelve".