10105486336800 has 216 divisors, whose sum is σ = 35636504117760. Its totient is φ = 2694642624000.

The previous prime is 10105486336747. The next prime is 10105486336849. The reversal of 10105486336800 is 863368450101.

10105486336800 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 4 + 8 + 633 + 6 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186589725 + ... + 186643875.

It is an arithmetic number, because the mean of its divisors is an integer number (164983815360).

Almost surely, 2^{10105486336800} is an apocalyptic number.

10105486336800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105486336800 is an abundant number, since it is smaller than the sum of its proper divisors (25531017780960).

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

10105486336800 is a wasteful number, since it uses less digits than its factorization.

10105486336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80096 (or 80080 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10105486336800 in words is "ten trillion, one hundred five billion, four hundred eighty-six million, three hundred thirty-six thousand, eight hundred".