107962949808 has 240 divisors, whose sum is σ = 361045701120. Its totient is φ = 29502050688.

The previous prime is 107962949807. The next prime is 107962949819. The reversal of 107962949808 is 808949269701.

107962949808 is a `hidden beast` number, since 10 + 79 + 62 + 9 + 498 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (107962949807) 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, 12259935 + ... + 12268737.

It is an arithmetic number, because the mean of its divisors is an integer number (1504357088).

Almost surely, 2^107962949808 is an apocalyptic number.

107962949808 is a gapful number since it is divisible by the number (18) 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 107962949808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180522850560).

107962949808 is an abundant number, since it is smaller than the sum of its proper divisors (253082751312).

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

107962949808 is an equidigital number, since it uses as much as digits as its factorization.

107962949808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 107962949808 in words is "one hundred seven billion, nine hundred sixty-two million, nine hundred forty-nine thousand, eight hundred eight".