105487266240 has 672 divisors, whose sum is σ = 399501213696. Its totient is φ = 25461596160.

The previous prime is 105487266197. The next prime is 105487266281. The reversal of 105487266240 is 42662784501.

105487266240 is a `hidden beast` number, since 1 + 0 + 548 + 7 + 2 + 6 + 62 + 40 = 666.

It is a super-2 number, since 2×105487266240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96511134 + ... + 96512226.

Almost surely, 2^105487266240 is an apocalyptic number.

105487266240 is a gapful number since it is divisible by the number (10) 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 105487266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199750606848).

105487266240 is an abundant number, since it is smaller than the sum of its proper divisors (294013947456).

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

105487266240 is a wasteful number, since it uses less digits than its factorization.

105487266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 105487266240 in words is "one hundred five billion, four hundred eighty-seven million, two hundred sixty-six thousand, two hundred forty".