106470000 has 450 divisors, whose sum is σ = 460783752. Its totient is φ = 22464000.

The previous prime is 106469999. The next prime is 106470011. The reversal of 106470000 is 74601.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×106470000² = 22671721800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8189994 + ... + 8190006.

Almost surely, 2^106470000 is an apocalyptic number.

106470000 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 106470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230391876).

106470000 is an abundant number, since it is smaller than the sum of its proper divisors (354313752).

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

106470000 is a wasteful number, since it uses less digits than its factorization.

106470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 106470000 is about 10318.4301131519. The cubic root of 106470000 is about 473.9607936380.

The spelling of 106470000 in words is "one hundred six million, four hundred seventy thousand".