105089611200 has 672 divisors, whose sum is σ = 402473525760. Its totient is φ = 23513088000.

The previous prime is 105089611189. The next prime is 105089611219. The reversal of 105089611200 is 2116980501.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105089611200² (a number of 23 digits) contains 22 as substring.

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, 587092711 + ... + 587092889.

Almost surely, 2^105089611200 is an apocalyptic number.

105089611200 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 105089611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201236762880).

105089611200 is an abundant number, since it is smaller than the sum of its proper divisors (297383914560).

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

105089611200 is a wasteful number, since it uses less digits than its factorization.

105089611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 105089611200 in words is "one hundred five billion, eighty-nine million, six hundred eleven thousand, two hundred".