107437872150 has 384 divisors, whose sum is σ = 358434201600. Its totient is φ = 23115715200.

The previous prime is 107437872121. The next prime is 107437872193. The reversal of 107437872150 is 51278734701.

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

It is a junction number, because it is equal to n+sod(n) for n = 107437872096 and 107437872105.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 29264815 + ... + 29268485.

It is an arithmetic number, because the mean of its divisors is an integer number (933422400).

Almost surely, 2^107437872150 is an apocalyptic number.

107437872150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107437872150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179217100800).

107437872150 is an abundant number, since it is smaller than the sum of its proper divisors (250996329450).

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

107437872150 is a wasteful number, since it uses less digits than its factorization.

107437872150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 107437872150 in words is "one hundred seven billion, four hundred thirty-seven million, eight hundred seventy-two thousand, one hundred fifty".