105978960 has 240 divisors, whose sum is σ = 383784960. Its totient is φ = 26127360.

The previous prime is 105978949. The next prime is 105979001. The reversal of 105978960 is 69879501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×105978960³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 834417 + ... + 834543.

It is an arithmetic number, because the mean of its divisors is an integer number (1599104).

Almost surely, 2^105978960 is an apocalyptic number.

105978960 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 105978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191892480).

105978960 is an abundant number, since it is smaller than the sum of its proper divisors (277806000).

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

105978960 is a wasteful number, since it uses less digits than its factorization.

105978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 105978960 is about 10294.6082975507. The cubic root of 105978960 is about 473.2310343405.

The spelling of 105978960 in words is "one hundred five million, nine hundred seventy-eight thousand, nine hundred sixty".