106963560 has 96 divisors (see below), whose sum is σ = 379248480. Its totient is φ = 25929600.

The previous prime is 106963537. The next prime is 106963583. The reversal of 106963560 is 65369601.

106963560 is a `hidden beast` number, since 1 + 0 + 6 + 96 + 3 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (106963537) and next prime (106963583).

It is a super-2 number, since 2×106963560² = 22882406335747200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9546 + ... + 17465.

It is an arithmetic number, because the mean of its divisors is an integer number (3950505).

Almost surely, 2^106963560 is an apocalyptic number.

106963560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106963560 is an abundant number, since it is smaller than the sum of its proper divisors (272284920).

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

106963560 is a wasteful number, since it uses less digits than its factorization.

106963560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27039 (or 27032 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 106963560 is about 10342.3188889146. The cubic root of 106963560 is about 474.6920404558.

The spelling of 106963560 in words is "one hundred six million, nine hundred sixty-three thousand, five hundred sixty".