107046000 has 240 divisors, whose sum is σ = 394811040. Its totient is φ = 26956800.

The previous prime is 107045987. The next prime is 107046011. The reversal of 107046000 is 640701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×107046000² = 22917692232000000, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341844 + ... + 342156.

It is an arithmetic number, because the mean of its divisors is an integer number (1645046).

Almost surely, 2^107046000 is an apocalyptic number.

107046000 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 107046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197405520).

107046000 is an abundant number, since it is smaller than the sum of its proper divisors (287765040).

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

107046000 is a wasteful number, since it uses less digits than its factorization.

107046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

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

The square root of 107046000 is about 10346.3036877911. The cubic root of 107046000 is about 474.8139622340.

Adding to 107046000 its reverse (640701), we get a palindrome (107686701).

The spelling of 107046000 in words is "one hundred seven million, forty-six thousand".