107050000 has 60 divisors (see below), whose sum is σ = 259366212. Its totient is φ = 42800000.

The previous prime is 107049989. The next prime is 107050033. The reversal of 107050000 is 50701.

It can be written as a sum of positive squares in 6 ways, for example, as 61027344 + 46022656 = 7812^2 + 6784^2 .

It is a super-2 number, since 2×107050000² = 22919405000000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48930 + ... + 51070.

Almost surely, 2^107050000 is an apocalyptic number.

107050000 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 107050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129683106).

107050000 is an abundant number, since it is smaller than the sum of its proper divisors (152316212).

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

107050000 is an frugal number, since it uses more digits than its factorization.

107050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 107050000 is about 10346.4969917359. The cubic root of 107050000 is about 474.8198763027.

The spelling of 107050000 in words is "one hundred seven million, fifty thousand".