107336534016 has 384 divisors, whose sum is σ = 310722048000. Its totient is φ = 32848478208.

The previous prime is 107336533961. The next prime is 107336534017. The reversal of 107336534016 is 610435633701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×107336534016² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107336534017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949880776 + ... + 949880888.

It is an arithmetic number, because the mean of its divisors is an integer number (809172000).

Almost surely, 2^107336534016 is an apocalyptic number.

107336534016 is a gapful number since it is divisible by the number (16) 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 107336534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155361024000).

107336534016 is an abundant number, since it is smaller than the sum of its proper divisors (203385513984).

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

107336534016 is a wasteful number, since it uses less digits than its factorization.

107336534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 107336534016 in words is "one hundred seven billion, three hundred thirty-six million, five hundred thirty-four thousand, sixteen".