107006700 has 72 divisors (see below), whose sum is σ = 312702208. Its totient is φ = 28249920.

The previous prime is 107006681. The next prime is 107006719. The reversal of 107006700 is 7600701.

It is an interprime number because it is at equal distance from previous prime (107006681) and next prime (107006719).

It is a super-2 number, since 2×107006700² = 22900867689780000, which contains 22 as substring.

It is a zygodrome in base 11.

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 23 ways as a sum of consecutive naturals, for example, 29169 + ... + 32631.

Almost surely, 2^107006700 is an apocalyptic number.

107006700 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 107006700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156351104).

107006700 is an abundant number, since it is smaller than the sum of its proper divisors (205695508).

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

107006700 is a wasteful number, since it uses less digits than its factorization.

107006700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 107006700 is about 10344.4042844429. The cubic root of 107006700 is about 474.7558486729.

The spelling of 107006700 in words is "one hundred seven million, six thousand, seven hundred".