107190000 has 200 divisors, whose sum is σ = 385439120. Its totient is φ = 28512000.

The previous prime is 107189933. The next prime is 107190007. The reversal of 107190000 is 91701.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×107190000² = 22979392200000000, 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 not an unprimeable number, because it can be changed into a prime (107190007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269802 + ... + 270198.

Almost surely, 2^107190000 is an apocalyptic number.

107190000 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 107190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192719560).

107190000 is an abundant number, since it is smaller than the sum of its proper divisors (278249120).

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

107190000 is an equidigital number, since it uses as much as digits as its factorization.

107190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 107190000 is about 10353.2603560424. The cubic root of 107190000 is about 475.0267759606.

The spelling of 107190000 in words is "one hundred seven million, one hundred ninety thousand".