106952860 has 48 divisors (see below), whose sum is σ = 257725440. Its totient is φ = 36521280.

The previous prime is 106952849. The next prime is 106952861. The reversal of 106952860 is 68259601.

It is a super-2 number, since 2×106952860² = 22877828524359200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106952861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36531 + ... + 39349.

It is an arithmetic number, because the mean of its divisors is an integer number (5369280).

Almost surely, 2^106952860 is an apocalyptic number.

106952860 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 106952860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128862720).

106952860 is an abundant number, since it is smaller than the sum of its proper divisors (150772580).

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

106952860 is a wasteful number, since it uses less digits than its factorization.

106952860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 106952860 is about 10341.8015838634. The cubic root of 106952860 is about 474.6762114694.

The spelling of 106952860 in words is "one hundred six million, nine hundred fifty-two thousand, eight hundred sixty".