107742700 has 72 divisors (see below), whose sum is σ = 255750992. Its totient is φ = 39156480.

The previous prime is 107742689. The next prime is 107742709. The reversal of 107742700 is 7247701.

It is not an unprimeable number, because it can be changed into a prime (107742709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86482 + ... + 87718.

Almost surely, 2^107742700 is an apocalyptic number.

107742700 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 107742700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127875496).

107742700 is an abundant number, since it is smaller than the sum of its proper divisors (148008292).

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

107742700 is a wasteful number, since it uses less digits than its factorization.

107742700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 107742700 is about 10379.9181114304. The cubic root of 107742700 is about 475.8418312607.

The spelling of 107742700 in words is "one hundred seven million, seven hundred forty-two thousand, seven hundred".