107264277120 has 2048 divisors, whose sum is σ = 503387136000. Its totient is φ = 19074908160.

The previous prime is 107264277077. The next prime is 107264277181. The reversal of 107264277120 is 21772462701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1600959327 + ... + 1600959393.

It is an arithmetic number, because the mean of its divisors is an integer number (245794500).

Almost surely, 2^107264277120 is an apocalyptic number.

107264277120 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 107264277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251693568000).

107264277120 is an abundant number, since it is smaller than the sum of its proper divisors (396122858880).

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

107264277120 is a wasteful number, since it uses less digits than its factorization.

107264277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 107264277120 in words is "one hundred seven billion, two hundred sixty-four million, two hundred seventy-seven thousand, one hundred twenty".