105182250152 has 128 divisors (see below), whose sum is σ = 234178560000. Its totient is φ = 43359114240.

The previous prime is 105182250127. The next prime is 105182250161. The reversal of 105182250152 is 251052281501.

It is a super-2 number, since 2×105182250152² (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, 50109599 + ... + 50111697.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520000).

Almost surely, 2^105182250152 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 105182250152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280000).

105182250152 is an abundant number, since it is smaller than the sum of its proper divisors (128996309848).

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

105182250152 is a wasteful number, since it uses less digits than its factorization.

105182250152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 32.

The spelling of 105182250152 in words is "one hundred five billion, one hundred eighty-two million, two hundred fifty thousand, one hundred fifty-two".