106197000 has 256 divisors, whose sum is σ = 408844800. Its totient is φ = 22348800.

The previous prime is 106196989. The next prime is 106197029. The reversal of 106197000 is 791601.

It is a super-2 number, since 2×106197000² = 22555605618000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272806 + ... + 273194.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^106197000 is an apocalyptic number.

106197000 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 106197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

106197000 is an abundant number, since it is smaller than the sum of its proper divisors (302647800).

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

106197000 is a wasteful number, since it uses less digits than its factorization.

106197000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 106197000 is about 10305.1928657352. The cubic root of 106197000 is about 473.5553522138. Note that the first 3 decimals are identical.

The spelling of 106197000 in words is "one hundred six million, one hundred ninety-seven thousand".