107016000 has 448 divisors, whose sum is σ = 443788800. Its totient is φ = 22579200.

The previous prime is 107015971. The next prime is 107016047. The reversal of 107016000 is 610701.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×107016000² = 22904848512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 8231994 + ... + 8232006.

It is an arithmetic number, because the mean of its divisors is an integer number (990600).

Almost surely, 2^107016000 is an apocalyptic number.

107016000 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 107016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221894400).

107016000 is an abundant number, since it is smaller than the sum of its proper divisors (336772800).

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

107016000 is an equidigital number, since it uses as much as digits as its factorization.

107016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 107016000 is about 10344.8537930703. The cubic root of 107016000 is about 474.7696020220.

Adding to 107016000 its reverse (610701), we get a palindrome (107626701).

The spelling of 107016000 in words is "one hundred seven million, sixteen thousand".