105698960 has 80 divisors (see below), whose sum is σ = 253952496. Its totient is φ = 40894464.

The previous prime is 105698947. The next prime is 105699001. The reversal of 105698960 is 69896501.

It is a Cunningham number, because it is equal to 10281²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 12306064 + 93392896 = 3508^2 + 9664^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105698960² = 22344540290163200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411152 + ... + 411408.

Almost surely, 2^105698960 is an apocalyptic number.

105698960 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 105698960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126976248).

105698960 is an abundant number, since it is smaller than the sum of its proper divisors (148253536).

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

105698960 is a wasteful number, since it uses less digits than its factorization.

105698960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 105698960 is about 10280.9999513666. Note that the first 4 decimals coincide. The cubic root of 105698960 is about 472.8139026282.

The spelling of 105698960 in words is "one hundred five million, six hundred ninety-eight thousand, nine hundred sixty".