107100545616 has 30 divisors (see below), whose sum is σ = 299732777370. Its totient is φ = 35700181824.

The previous prime is 107100545549. The next prime is 107100545623. The reversal of 107100545616 is 616545001701.

It is a happy number.

107100545616 is a `hidden beast` number, since 1 + 0 + 7 + 100 + 545 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75238295616 + 31862250000 = 274296^2 + 178500^2 .

It is a super-2 number, since 2×107100545616² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371876751 + ... + 371877038.

It is an arithmetic number, because the mean of its divisors is an integer number (9991092579).

Almost surely, 2^107100545616 is an apocalyptic number.

107100545616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107100545616 is an abundant number, since it is smaller than the sum of its proper divisors (192632231754).

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

107100545616 is a wasteful number, since it uses less digits than its factorization.

107100545616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743753803 (or 743753794 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 107100545616 in words is "one hundred seven billion, one hundred million, five hundred forty-five thousand, six hundred sixteen".