105250931776 has 63 divisors (see below), whose sum is σ = 211385238519. Its totient is φ = 51996083328.

The previous prime is 105250931759. The next prime is 105250931783. The reversal of 105250931776 is 677139052501.

It is a happy number.

The square root of 105250931776 is 324424.

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

It is a super-2 number, since 2×105250931776² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 277706755 + ... + 277707133.

Almost surely, 2^105250931776 is an apocalyptic number.

105250931776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105250931776 is the 324424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105250931776

105250931776 is an abundant number, since it is smaller than the sum of its proper divisors (106134306743).

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

105250931776 is an frugal number, since it uses more digits than its factorization.

105250931776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The spelling of 105250931776 in words is "one hundred five billion, two hundred fifty million, nine hundred thirty-one thousand, seven hundred seventy-six".