101406000 has 80 divisors (see below), whose sum is σ = 326952288. Its totient is φ = 27040000.

The previous prime is 101405999. The next prime is 101406001. The reversal of 101406000 is 604101.

It is an interprime number because it is at equal distance from previous prime (101405999) and next prime (101406001).

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101406001) 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, 2451 + ... + 14450.

Almost surely, 2^101406000 is an apocalyptic number.

101406000 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 101406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163476144).

101406000 is an abundant number, since it is smaller than the sum of its proper divisors (225546288).

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

101406000 is a wasteful number, since it uses less digits than its factorization.

101406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16927 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101406000 is about 10070.0546175281. The cubic root of 101406000 is about 466.3241250471.

It can be divided in two parts, 10140 and 6000, that multiplied together give a square (60840000 = 7800²).

The spelling of 101406000 in words is "one hundred one million, four hundred six thousand".