106360974720 has 2304 divisors, whose sum is σ = 524320473600. Its totient is φ = 19926466560.

The previous prime is 106360974719. The next prime is 106360974821. The reversal of 106360974720 is 27479063601.

106360974720 is a `hidden beast` number, since 1 + 0 + 636 + 0 + 9 + 7 + 4 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×106360974720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 2473511019 + ... + 2473511061.

It is an arithmetic number, because the mean of its divisors is an integer number (227569650).

Almost surely, 2^106360974720 is an apocalyptic number.

106360974720 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 106360974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262160236800).

106360974720 is an abundant number, since it is smaller than the sum of its proper divisors (417959498880).

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

106360974720 is a wasteful number, since it uses less digits than its factorization.

106360974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 106360974720 in words is "one hundred six billion, three hundred sixty million, nine hundred seventy-four thousand, seven hundred twenty".