106197672 has 64 divisors (see below), whose sum is σ = 304836480. Its totient is φ = 30200832.

The previous prime is 106197649. The next prime is 106197683. The reversal of 106197672 is 276791601.

It is a super-2 number, since 2×106197672² = 22555891076439168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106197672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37788 + ... + 40500.

It is an arithmetic number, because the mean of its divisors is an integer number (4763070).

Almost surely, 2^106197672 is an apocalyptic number.

106197672 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 106197672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152418240).

106197672 is an abundant number, since it is smaller than the sum of its proper divisors (198638808).

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

106197672 is a wasteful number, since it uses less digits than its factorization.

106197672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 106197672 is about 10305.2254706047. The cubic root of 106197672 is about 473.5563510760.

The spelling of 106197672 in words is "one hundred six million, one hundred ninety-seven thousand, six hundred seventy-two".