105837006276 has 81 divisors (see below), whose sum is σ = 272440188111. Its totient is φ = 34643315088.

The previous prime is 105837006169. The next prime is 105837006311. The reversal of 105837006276 is 672600738501.

The square root of 105837006276 is 325326.

It is a perfect power (a square), and thus also a powerful number.

105837006276 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 370 + 0 + 6 + 276 = 666.

It is a super-2 number, since 2×105837006276² (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 26 ways as a sum of consecutive naturals, for example, 115164945 + ... + 115165863.

Almost surely, 2^105837006276 is an apocalyptic number.

105837006276 is the 325326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105837006276

105837006276 is an abundant number, since it is smaller than the sum of its proper divisors (166603181835).

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

105837006276 is an frugal number, since it uses more digits than its factorization.

105837006276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 105837006276 in words is "one hundred five billion, eight hundred thirty-seven million, six thousand, two hundred seventy-six".