10105436880 has 960 divisors, whose sum is σ = 45185107968. Its totient is φ = 2037934080.

The previous prime is 10105436879. The next prime is 10105436893. The reversal of 10105436880 is 8863450101.

10105436880 is a `hidden beast` number, since 101 + 0 + 543 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64365762 + ... + 64365918.

Almost surely, 2^10105436880 is an apocalyptic number.

10105436880 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 10105436880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22592553984).

10105436880 is an abundant number, since it is smaller than the sum of its proper divisors (35079671088).

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

10105436880 is a wasteful number, since it uses less digits than its factorization.

10105436880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 10105436880 its reverse (8863450101), we get a palindrome (18968886981).

It can be divided in two parts, 10105 and 436880, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 10105436880 in words is "ten billion, one hundred five million, four hundred thirty-six thousand, eight hundred eighty".