107953249536 has 324 divisors, whose sum is σ = 343225927044. Its totient is φ = 32607928320.

The previous prime is 107953249531. The next prime is 107953249589. The reversal of 107953249536 is 635942359701.

107953249536 is a `hidden beast` number, since 1 + 0 + 7 + 95 + 32 + 495 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45052609536 + 62900640000 = 212256^2 + 250800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107953249531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165318586 + ... + 165319238.

It is an arithmetic number, because the mean of its divisors is an integer number (1059339281).

Almost surely, 2^107953249536 is an apocalyptic number.

107953249536 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 107953249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171612963522).

107953249536 is an abundant number, since it is smaller than the sum of its proper divisors (235272677508).

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

107953249536 is a wasteful number, since it uses less digits than its factorization.

107953249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 107953249536 in words is "one hundred seven billion, nine hundred fifty-three million, two hundred forty-nine thousand, five hundred thirty-six".