106869672 has 128 divisors (see below), whose sum is σ = 365433600. Its totient is φ = 28180224.

The previous prime is 106869629. The next prime is 106869683. The reversal of 106869672 is 276968601.

It is a super-2 number, since 2×106869672² = 22842253586775168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16938 + ... + 22374.

It is an arithmetic number, because the mean of its divisors is an integer number (2854950).

Almost surely, 2^106869672 is an apocalyptic number.

106869672 is a gapful number since it is divisible by the number (12) 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 106869672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182716800).

106869672 is an abundant number, since it is smaller than the sum of its proper divisors (258563928).

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

106869672 is a wasteful number, since it uses less digits than its factorization.

106869672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 106869672 is about 10337.7788716919. The cubic root of 106869672 is about 474.5531117322.

The spelling of 106869672 in words is "one hundred six million, eight hundred sixty-nine thousand, six hundred seventy-two".