107498244672 has 756 divisors, whose sum is σ = 401193950976. Its totient is φ = 27398891520.

The previous prime is 107498244649. The next prime is 107498244709. The reversal of 107498244672 is 276442894701.

107498244672 is a `hidden beast` number, since 1 + 0 + 74 + 98 + 24 + 467 + 2 = 666.

It is a super-2 number, since 2×107498244672² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 147865173 + ... + 147865899.

Almost surely, 2^107498244672 is an apocalyptic number.

107498244672 is a gapful number since it is divisible by the number (12) 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 107498244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200596975488).

107498244672 is an abundant number, since it is smaller than the sum of its proper divisors (293695706304).

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

107498244672 is a wasteful number, since it uses less digits than its factorization.

107498244672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 107498244672 in words is "one hundred seven billion, four hundred ninety-eight million, two hundred forty-four thousand, six hundred seventy-two".