106303960 has 128 divisors (see below), whose sum is σ = 290672640. Its totient is φ = 34214400.

The previous prime is 106303957. The next prime is 106303961. The reversal of 106303960 is 69303601.

It is a super-2 number, since 2×106303960² = 22601063823363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320995 + ... + 321325.

It is an arithmetic number, because the mean of its divisors is an integer number (2270880).

Almost surely, 2^106303960 is an apocalyptic number.

106303960 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 106303960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145336320).

106303960 is an abundant number, since it is smaller than the sum of its proper divisors (184368680).

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

106303960 is a wasteful number, since it uses less digits than its factorization.

106303960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 106303960 is about 10310.3811762708. The cubic root of 106303960 is about 473.7142847789.

The spelling of 106303960 in words is "one hundred six million, three hundred three thousand, nine hundred sixty".