105278993280 has 96 divisors (see below), whose sum is σ = 363541543560. Its totient is φ = 28074396672.

The previous prime is 105278993279. The next prime is 105278993341. The reversal of 105278993280 is 82399872501.

105278993280 is a `hidden beast` number, since 1 + 0 + 5 + 278 + 9 + 93 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105278993280² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9133042 + ... + 9144561.

Almost surely, 2^105278993280 is an apocalyptic number.

105278993280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105278993280 is an abundant number, since it is smaller than the sum of its proper divisors (258262550280).

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

105278993280 is a wasteful number, since it uses less digits than its factorization.

105278993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18277628 (or 18277613 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 105278993280 in words is "one hundred five billion, two hundred seventy-eight million, nine hundred ninety-three thousand, two hundred eighty".