106671840 has 192 divisors, whose sum is σ = 372314880. Its totient is φ = 25456640.

The previous prime is 106671793. The next prime is 106671841. The reversal of 106671840 is 48176601.

It is a happy number.

It is a super-2 number, since 2×106671840² = 22757762897971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106671841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469807 + ... + 470033.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 2^106671840 is an apocalyptic number.

106671840 is a gapful number since it is divisible by the number (10) 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 106671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

106671840 is an abundant number, since it is smaller than the sum of its proper divisors (265643040).

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

106671840 is a wasteful number, since it uses less digits than its factorization.

106671840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106671840 is about 10328.2060397728. The cubic root of 106671840 is about 474.2601075559.

The spelling of 106671840 in words is "one hundred six million, six hundred seventy-one thousand, eight hundred forty".