107755380 has 192 divisors, whose sum is σ = 356751360. Its totient is φ = 26956800.

The previous prime is 107755369. The next prime is 107755381. The reversal of 107755380 is 83557701.

It is a super-2 number, since 2×107755380² = 23222443837888800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107755381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686262 + ... + 686418.

It is an arithmetic number, because the mean of its divisors is an integer number (1858080).

Almost surely, 2^107755380 is an apocalyptic number.

107755380 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 107755380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178375680).

107755380 is an abundant number, since it is smaller than the sum of its proper divisors (248995980).

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

107755380 is a wasteful number, since it uses less digits than its factorization.

107755380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 107755380 is about 10380.5288882600. The cubic root of 107755380 is about 475.8604974526.

The spelling of 107755380 in words is "one hundred seven million, seven hundred fifty-five thousand, three hundred eighty".