107203450752 has 256 divisors, whose sum is σ = 323235144000. Its totient is φ = 35407798272.

The previous prime is 107203450723. The next prime is 107203450769. The reversal of 107203450752 is 257054302701.

107203450752 is a `hidden beast` number, since 1 + 0 + 72 + 0 + 34 + 507 + 52 = 666.

It is a super-2 number, since 2×107203450752² (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 a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 31631074 + ... + 31634462.

Almost surely, 2^107203450752 is an apocalyptic number.

107203450752 is a gapful number since it is divisible by the number (12) 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 107203450752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161617572000).

107203450752 is an abundant number, since it is smaller than the sum of its proper divisors (216031693248).

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

107203450752 is an frugal number, since it uses more digits than its factorization.

107203450752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 107203450752 in words is "one hundred seven billion, two hundred three million, four hundred fifty thousand, seven hundred fifty-two".