107253377280 has 432 divisors, whose sum is σ = 438731354880. Its totient is φ = 23669194752.

The previous prime is 107253377261. The next prime is 107253377321. The reversal of 107253377280 is 82773352701.

It is a happy number.

107253377280 is a `hidden beast` number, since 1 + 0 + 7 + 253 + 377 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2315629 + ... + 2361491.

It is an arithmetic number, because the mean of its divisors is an integer number (1015581840).

Almost surely, 2^107253377280 is an apocalyptic number.

107253377280 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 107253377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219365677440).

107253377280 is an abundant number, since it is smaller than the sum of its proper divisors (331477977600).

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

107253377280 is a wasteful number, since it uses less digits than its factorization.

107253377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45926 (or 45909 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 107253377280 in words is "one hundred seven billion, two hundred fifty-three million, three hundred seventy-seven thousand, two hundred eighty".