107035740 has 288 divisors, whose sum is σ = 415134720. Its totient is φ = 21731328.

The previous prime is 107035703. The next prime is 107035769. The reversal of 107035740 is 47530701.

It is a super-2 number, since 2×107035740² = 22913299274695200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 406849 + ... + 407111.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^107035740 is an apocalyptic number.

107035740 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 107035740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

107035740 is an abundant number, since it is smaller than the sum of its proper divisors (308098980).

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

107035740 is a wasteful number, since it uses less digits than its factorization.

107035740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 107035740 is about 10345.8078466594. The cubic root of 107035740 is about 474.7987919741.

The spelling of 107035740 in words is "one hundred seven million, thirty-five thousand, seven hundred forty".