106748596800 has 504 divisors, whose sum is σ = 403437303360. Its totient is φ = 26694144000.

The previous prime is 106748596789. The next prime is 106748596811. The reversal of 106748596800 is 8695847601.

106748596800 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 48 + 596 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106748596789) and next prime (106748596811).

It is a super-2 number, since 2×106748596800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27631669 + ... + 27635531.

It is an arithmetic number, because the mean of its divisors is an integer number (800470840).

Almost surely, 2^106748596800 is an apocalyptic number.

106748596800 is a gapful number since it is divisible by the number (10) 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 106748596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201718651680).

106748596800 is an abundant number, since it is smaller than the sum of its proper divisors (296688706560).

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

106748596800 is a wasteful number, since it uses less digits than its factorization.

106748596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 106748596800 in words is "one hundred six billion, seven hundred forty-eight million, five hundred ninety-six thousand, eight hundred".