105590276352 has 432 divisors, whose sum is σ = 345534766080. Its totient is φ = 31781376000.

The previous prime is 105590276347. The next prime is 105590276353. The reversal of 105590276352 is 253672095501.

105590276352 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 9 + 0 + 2 + 7 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×105590276352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105590276298 and 105590276307.

It is not an unprimeable number, because it can be changed into a prime (105590276353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159742902 + ... + 159743562.

Almost surely, 2^105590276352 is an apocalyptic number.

105590276352 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 105590276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172767383040).

105590276352 is an abundant number, since it is smaller than the sum of its proper divisors (239944489728).

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

105590276352 is a wasteful number, since it uses less digits than its factorization.

105590276352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 105590276352 in words is "one hundred five billion, five hundred ninety million, two hundred seventy-six thousand, three hundred fifty-two".