107740100 has 72 divisors (see below), whose sum is σ = 253733760. Its totient is φ = 39473280.

The previous prime is 107740099. The next prime is 107740111. The reversal of 107740100 is 1047701.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232469 + ... + 232931.

It is an arithmetic number, because the mean of its divisors is an integer number (3524080).

Almost surely, 2^107740100 is an apocalyptic number.

107740100 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 107740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126866880).

107740100 is an abundant number, since it is smaller than the sum of its proper divisors (145993660).

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

107740100 is a wasteful number, since it uses less digits than its factorization.

107740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 107740100 is about 10379.7928688390. The cubic root of 107740100 is about 475.8380036272.

Adding to 107740100 its reverse (1047701), we get a palindrome (108787801).

The spelling of 107740100 in words is "one hundred seven million, seven hundred forty thousand, one hundred".