105981120 has 252 divisors, whose sum is σ = 424610784. Its totient is φ = 24192000.

The previous prime is 105981101. The next prime is 105981131. The reversal of 105981120 is 21189501.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×105981120² = 22463995592908800, which contains 22 as substring.

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, 140745 + ... + 141495.

Almost surely, 2^105981120 is an apocalyptic number.

105981120 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 105981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212305392).

105981120 is an abundant number, since it is smaller than the sum of its proper divisors (318629664).

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

105981120 is a wasteful number, since it uses less digits than its factorization.

105981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 105981120 is about 10294.7132063016. The cubic root of 105981120 is about 473.2342493563.

The spelling of 105981120 in words is "one hundred five million, nine hundred eighty-one thousand, one hundred twenty".