106638876 has 48 divisors (see below), whose sum is σ = 280385280. Its totient is φ = 35043120.

The previous prime is 106638871. The next prime is 106638881. The reversal of 106638876 is 678836601.

106638876 is a `hidden beast` number, since 1 + 0 + 6 + 638 + 8 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106638871) and next prime (106638881).

It is a super-2 number, since 2×106638876² = 22743699749086752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106638871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715 + ... + 14621.

It is an arithmetic number, because the mean of its divisors is an integer number (5841360).

Almost surely, 2^106638876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106638876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140192640).

106638876 is an abundant number, since it is smaller than the sum of its proper divisors (173746404).

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

106638876 is a wasteful number, since it uses less digits than its factorization.

106638876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13991 (or 13983 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106638876 is about 10326.6100923778. The cubic root of 106638876 is about 474.2112501728.

The spelling of 106638876 in words is "one hundred six million, six hundred thirty-eight thousand, eight hundred seventy-six".