107887752672 has 192 divisors, whose sum is σ = 331789860864. Its totient is φ = 30053721600.

The previous prime is 107887752617. The next prime is 107887752727. The reversal of 107887752672 is 276257788701.

It is an interprime number because it is at equal distance from previous prime (107887752617) and next prime (107887752727).

It is a super-2 number, since 2×107887752672² (a number of 23 digits) contains 22 as substring.

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, 17536797 + ... + 17542947.

It is an arithmetic number, because the mean of its divisors is an integer number (1728072192).

Almost surely, 2^107887752672 is an apocalyptic number.

107887752672 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 107887752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165894930432).

107887752672 is an abundant number, since it is smaller than the sum of its proper divisors (223902108192).

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

107887752672 is a wasteful number, since it uses less digits than its factorization.

107887752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 60.

The spelling of 107887752672 in words is "one hundred seven billion, eight hundred eighty-seven million, seven hundred fifty-two thousand, six hundred seventy-two".