106884960 has 192 divisors, whose sum is σ = 414554112. Its totient is φ = 22542336.

The previous prime is 106884949. The next prime is 106884977. The reversal of 106884960 is 69488601.

It is a super-2 number, since 2×106884960² = 22848789348403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42457 + ... + 44903.

It is an arithmetic number, because the mean of its divisors is an integer number (2159136).

Almost surely, 2^106884960 is an apocalyptic number.

106884960 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 106884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056).

106884960 is an abundant number, since it is smaller than the sum of its proper divisors (307669152).

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

106884960 is a wasteful number, since it uses less digits than its factorization.

106884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 106884960 is about 10338.5182690751. The cubic root of 106884960 is about 474.5757393618.

The spelling of 106884960 in words is "one hundred six million, eight hundred eighty-four thousand, nine hundred sixty".