106952868 has 108 divisors (see below), whose sum is σ = 304608304. Its totient is φ = 31600800.

The previous prime is 106952861. The next prime is 106952869. The reversal of 106952868 is 868259601.

106952868 is a `hidden beast` number, since 1 + 0 + 69 + 528 + 68 = 666.

It is a super-2 number, since 2×106952868² = 22877831946850848, which contains 22 as substring.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187023 + ... + 187593.

Almost surely, 2^106952868 is an apocalyptic number.

106952868 is a gapful number since it is divisible by the number (18) 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 106952868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152304152).

106952868 is an abundant number, since it is smaller than the sum of its proper divisors (197655436).

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

106952868 is a wasteful number, since it uses less digits than its factorization.

106952868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 106952868 is about 10341.8019706432. The cubic root of 106952868 is about 474.6762233046.

The spelling of 106952868 in words is "one hundred six million, nine hundred fifty-two thousand, eight hundred sixty-eight".