107844067872 has 48 divisors (see below), whose sum is σ = 314545200480. Its totient is φ = 35948022336.

The previous prime is 107844067871. The next prime is 107844067889. The reversal of 107844067872 is 278760448701.

107844067872 is a `hidden beast` number, since 1 + 0 + 78 + 440 + 67 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (107844067871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62408898 + ... + 62410625.

It is an arithmetic number, because the mean of its divisors is an integer number (6553025010).

Almost surely, 2^107844067872 is an apocalyptic number.

107844067872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107844067872 is an abundant number, since it is smaller than the sum of its proper divisors (206701132608).

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

107844067872 is a wasteful number, since it uses less digits than its factorization.

107844067872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124819542 (or 124819528 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 107844067872 in words is "one hundred seven billion, eight hundred forty-four million, sixty-seven thousand, eight hundred seventy-two".