101606000 has 80 divisors (see below), whose sum is σ = 248609088. Its totient is φ = 40160000.

The previous prime is 101605997. The next prime is 101606009. The reversal of 101606000 is 606101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101606009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201749 + ... + 202251.

Almost surely, 2^101606000 is an apocalyptic number.

101606000 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 101606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

101606000 is an abundant number, since it is smaller than the sum of its proper divisors (147003088).

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

101606000 is a wasteful number, since it uses less digits than its factorization.

101606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101606000 is about 10079.9801587106. The cubic root of 101606000 is about 466.6304960628.

The spelling of 101606000 in words is "one hundred one million, six hundred six thousand".