107006772 has 48 divisors (see below), whose sum is σ = 268349760. Its totient is φ = 33065472.

The previous prime is 107006743. The next prime is 107006777. The reversal of 107006772 is 277600701.

It is a happy number.

It is a super-2 number, since 2×107006772² = 22900898507719968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107006777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9754 + ... + 17582.

It is an arithmetic number, because the mean of its divisors is an integer number (5590620).

Almost surely, 2^107006772 is an apocalyptic number.

107006772 is a gapful number since it is divisible by the number (12) 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 107006772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134174880).

107006772 is an abundant number, since it is smaller than the sum of its proper divisors (161342988).

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

107006772 is a wasteful number, since it uses less digits than its factorization.

107006772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 107006772 is about 10344.4077645847. The cubic root of 107006772 is about 474.7559551535.

The spelling of 107006772 in words is "one hundred seven million, six thousand, seven hundred seventy-two".