107031981672 has 192 divisors, whose sum is σ = 364395807360. Its totient is φ = 27800340480.

The previous prime is 107031981671. The next prime is 107031981697. The reversal of 107031981672 is 276189130701.

It is a super-2 number, since 2×107031981672² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107031981671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591048 + ... + 750600.

It is an arithmetic number, because the mean of its divisors is an integer number (1897894830).

Almost surely, 2^107031981672 is an apocalyptic number.

107031981672 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 107031981672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182197903680).

107031981672 is an abundant number, since it is smaller than the sum of its proper divisors (257363825688).

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

107031981672 is a wasteful number, since it uses less digits than its factorization.

107031981672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159605 (or 159576 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 107031981672 in words is "one hundred seven billion, thirty-one million, nine hundred eighty-one thousand, six hundred seventy-two".