105956480 has 128 divisors (see below), whose sum is σ = 294641280. Its totient is φ = 35684352.

The previous prime is 105956479. The next prime is 105956489. The reversal of 105956480 is 84659501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105956480² = 22453551307980800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105956489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299984 + ... + 300336.

It is an arithmetic number, because the mean of its divisors is an integer number (2301885).

Almost surely, 2^105956480 is an apocalyptic number.

105956480 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 105956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147320640).

105956480 is an abundant number, since it is smaller than the sum of its proper divisors (188684800).

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

105956480 is an equidigital number, since it uses as much as digits as its factorization.

105956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 105956480 is about 10293.5164059713. The cubic root of 105956480 is about 473.1975717679.

The spelling of 105956480 in words is "one hundred five million, nine hundred fifty-six thousand, four hundred eighty".