107100377280 has 560 divisors, whose sum is σ = 423556809984. Its totient is φ = 25510256640.

The previous prime is 107100377269. The next prime is 107100377287. The reversal of 107100377280 is 82773001701.

It is a happy number.

107100377280 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 0 + 0 + 377 + 280 = 666.

It is a super-2 number, since 2×107100377280² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107100377287) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10440634 + ... + 10450886.

Almost surely, 2^107100377280 is an apocalyptic number.

107100377280 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 107100377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211778404992).

107100377280 is an abundant number, since it is smaller than the sum of its proper divisors (316456432704).

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

107100377280 is a wasteful number, since it uses less digits than its factorization.

107100377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

Adding to 107100377280 its reverse (82773001701), we get a palindrome (189873378981).

The spelling of 107100377280 in words is "one hundred seven billion, one hundred million, three hundred seventy-seven thousand, two hundred eighty".