106966860 has 288 divisors, whose sum is σ = 407296512. Its totient is φ = 20367360.

The previous prime is 106966829. The next prime is 106966861. The reversal of 106966860 is 68669601.

It is a super-2 number, since 2×106966860² = 22883818276519200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106966861) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780712 + ... + 780848.

It is an arithmetic number, because the mean of its divisors is an integer number (1414224).

Almost surely, 2^106966860 is an apocalyptic number.

106966860 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 106966860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203648256).

106966860 is an abundant number, since it is smaller than the sum of its proper divisors (300329652).

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

106966860 is a wasteful number, since it uses less digits than its factorization.

106966860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 106966860 is about 10342.4784263734. The cubic root of 106966860 is about 474.6969220797.

The spelling of 106966860 in words is "one hundred six million, nine hundred sixty-six thousand, eight hundred sixty".