107801820 has 288 divisors, whose sum is σ = 409651200. Its totient is φ = 23048064.

The previous prime is 107801819. The next prime is 107801821. The reversal of 107801820 is 28108701.

It is an interprime number because it is at equal distance from previous prime (107801819) and next prime (107801821).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107801821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1364541 + ... + 1364619.

It is an arithmetic number, because the mean of its divisors is an integer number (1422400).

Almost surely, 2^107801820 is an apocalyptic number.

107801820 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 107801820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

107801820 is an abundant number, since it is smaller than the sum of its proper divisors (301849380).

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

107801820 is a wasteful number, since it uses less digits than its factorization.

107801820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 107801820 is about 10382.7655275461. The cubic root of 107801820 is about 475.9288491443.

The spelling of 107801820 in words is "one hundred seven million, eight hundred one thousand, eight hundred twenty".