106130856 has 64 divisors (see below), whose sum is σ = 294981120. Its totient is φ = 31599360.

The previous prime is 106130851. The next prime is 106130861. The reversal of 106130856 is 658031601.

106130856 = T₁₂₈₈ + T₁₂₈₉ + ... + T₁₄₀₄.

It is an interprime number because it is at equal distance from previous prime (106130851) and next prime (106130861).

It is a super-2 number, since 2×106130856² = 22527517190585472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106130851) 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, 4186 + ... + 15158.

It is an arithmetic number, because the mean of its divisors is an integer number (4609080).

Almost surely, 2^106130856 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 106130856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147490560).

106130856 is an abundant number, since it is smaller than the sum of its proper divisors (188850264).

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

106130856 is a wasteful number, since it uses less digits than its factorization.

106130856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11026 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106130856 is about 10301.9831100619. The cubic root of 106130856 is about 473.4570150023.

The spelling of 106130856 in words is "one hundred six million, one hundred thirty thousand, eight hundred fifty-six".