107771820 has 96 divisors (see below), whose sum is σ = 326918592. Its totient is φ = 26370048.

The previous prime is 107771809. The next prime is 107771827. The reversal of 107771820 is 28177701.

It is a super-2 number, since 2×107771820² = 23229530372224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107771827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181444 + ... + 182036.

It is an arithmetic number, because the mean of its divisors is an integer number (3405402).

Almost surely, 2^107771820 is an apocalyptic number.

107771820 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 107771820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163459296).

107771820 is an abundant number, since it is smaller than the sum of its proper divisors (219146772).

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

107771820 is a wasteful number, since it uses less digits than its factorization.

107771820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 107771820 is about 10381.3207252257. The cubic root of 107771820 is about 475.8846965498.

The spelling of 107771820 in words is "one hundred seven million, seven hundred seventy-one thousand, eight hundred twenty".