105089209456 has 240 divisors, whose sum is σ = 272727544320. Its totient is φ = 38683008000.

The previous prime is 105089209387. The next prime is 105089209471. The reversal of 105089209456 is 654902980501.

It is a super-2 number, since 2×105089209456² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85368361 + ... + 85369591.

It is an arithmetic number, because the mean of its divisors is an integer number (1136364768).

Almost surely, 2^105089209456 is an apocalyptic number.

105089209456 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 105089209456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136363772160).

105089209456 is an abundant number, since it is smaller than the sum of its proper divisors (167638334864).

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

105089209456 is a wasteful number, since it uses less digits than its factorization.

105089209456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 105089209456 in words is "one hundred five billion, eighty-nine million, two hundred nine thousand, four hundred fifty-six".