106114806 has 96 divisors (see below), whose sum is σ = 277885440. Its totient is φ = 29401920.

The previous prime is 106114787. The next prime is 106114817. The reversal of 106114806 is 608411601.

106114806 is a `hidden beast` number, since 1 + 0 + 611 + 48 + 0 + 6 = 666.

It is a super-2 number, since 2×106114806² = 22520704104835272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106114806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635335 + ... + 635501.

It is an arithmetic number, because the mean of its divisors is an integer number (2894640).

Almost surely, 2^106114806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106114806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138942720).

106114806 is an abundant number, since it is smaller than the sum of its proper divisors (171770634).

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

106114806 is a wasteful number, since it uses less digits than its factorization.

106114806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106114806 is about 10301.2041043754. The cubic root of 106114806 is about 473.4331470828.

The spelling of 106114806 in words is "one hundred six million, one hundred fourteen thousand, eight hundred six".