105464249856 has 400 divisors, whose sum is σ = 371388610560. Its totient is φ = 29158133760.

The previous prime is 105464249837. The next prime is 105464249897. The reversal of 105464249856 is 658942464501.

It is a happy number.

105464249856 is a `hidden beast` number, since 1 + 0 + 546 + 4 + 2 + 4 + 98 + 5 + 6 = 666.

It is a super-2 number, since 2×105464249856² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8993565 + ... + 9005283.

Almost surely, 2^105464249856 is an apocalyptic number.

105464249856 is a gapful number since it is divisible by the number (16) 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 105464249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185694305280).

105464249856 is an abundant number, since it is smaller than the sum of its proper divisors (265924360704).

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

105464249856 is an equidigital number, since it uses as much as digits as its factorization.

105464249856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11787 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 105464249856 in words is "one hundred five billion, four hundred sixty-four million, two hundred forty-nine thousand, eight hundred fifty-six".