105483207150 has 192 divisors, whose sum is σ = 299427710400. Its totient is φ = 27288576000.

The previous prime is 105483207149. The next prime is 105483207169. The reversal of 105483207150 is 51702384501.

105483207150 is a `hidden beast` number, since 1 + 0 + 5 + 483 + 20 + 7 + 150 = 666.

It is a super-2 number, since 2×105483207150² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10013086 + ... + 10023614.

It is an arithmetic number, because the mean of its divisors is an integer number (1559519325).

Almost surely, 2^105483207150 is an apocalyptic number.

105483207150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105483207150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149713855200).

105483207150 is an abundant number, since it is smaller than the sum of its proper divisors (193944503250).

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

105483207150 is a wasteful number, since it uses less digits than its factorization.

105483207150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772 (or 10761 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 105483207150 in words is "one hundred five billion, four hundred eighty-three million, two hundred seven thousand, one hundred fifty".