106859144 has 32 divisors (see below), whose sum is σ = 242455680. Its totient is φ = 43102464.

The previous prime is 106859141. The next prime is 106859149. The reversal of 106859144 is 441958601.

It is a super-2 number, since 2×106859144² = 22837753312825472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106859098 and 106859107.

It is not an unprimeable number, because it can be changed into a prime (106859141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55172 + ... + 57075.

It is an arithmetic number, because the mean of its divisors is an integer number (7576740).

Almost surely, 2^106859144 is an apocalyptic number.

106859144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106859144 is an abundant number, since it is smaller than the sum of its proper divisors (135596536).

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

106859144 is a wasteful number, since it uses less digits than its factorization.

106859144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112277 (or 112273 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 106859144 is about 10337.2696588606. The cubic root of 106859144 is about 474.5375280805.

The spelling of 106859144 in words is "one hundred six million, eight hundred fifty-nine thousand, one hundred forty-four".