105951960 has 48 divisors (see below), whose sum is σ = 344345040. Its totient is φ = 28253760.

The previous prime is 105951949. The next prime is 105951977. The reversal of 105951960 is 69159501.

105951960 is a `hidden beast` number, since 1 + 0 + 595 + 1 + 9 + 60 = 666.

It is a super-2 number, since 2×105951960² = 22451635655683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146796 + ... + 147515.

It is an arithmetic number, because the mean of its divisors is an integer number (7173855).

Almost surely, 2^105951960 is an apocalyptic number.

105951960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105951960 is an abundant number, since it is smaller than the sum of its proper divisors (238393080).

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

105951960 is a wasteful number, since it uses less digits than its factorization.

105951960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294328 (or 294321 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 105951960 is about 10293.2968479492. The cubic root of 105951960 is about 473.1908429567.

The spelling of 105951960 in words is "one hundred five million, nine hundred fifty-one thousand, nine hundred sixty".