107121737016 has 192 divisors, whose sum is σ = 353105438400. Its totient is φ = 28638941184.

The previous prime is 107121736979. The next prime is 107121737017. The reversal of 107121737016 is 610737121701.

107121737016 is a `hidden beast` number, since 1 + 0 + 71 + 217 + 370 + 1 + 6 = 666.

It is a super-2 number, since 2×107121737016² (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 not an unprimeable number, because it can be changed into a prime (107121737017) 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, 1446130 + ... + 1518398.

It is an arithmetic number, because the mean of its divisors is an integer number (1839090825).

Almost surely, 2^107121737016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107121737016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176552719200).

107121737016 is an abundant number, since it is smaller than the sum of its proper divisors (245983701384).

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

107121737016 is a wasteful number, since it uses less digits than its factorization.

107121737016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72478 (or 72471 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

Adding to 107121737016 its reverse (610737121701), we get a palindrome (717858858717).

The spelling of 107121737016 in words is "one hundred seven billion, one hundred twenty-one million, seven hundred thirty-seven thousand, sixteen".