106376733360 has 480 divisors, whose sum is σ = 387862675200. Its totient is φ = 26040268800.

The previous prime is 106376733343. The next prime is 106376733383. The reversal of 106376733360 is 63337673601.

106376733360 is a `hidden beast` number, since 1 + 0 + 637 + 6 + 7 + 3 + 3 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×106376733360² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 81764710 + ... + 81766010.

It is an arithmetic number, because the mean of its divisors is an integer number (808047240).

Almost surely, 2^106376733360 is an apocalyptic number.

106376733360 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 106376733360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193931337600).

106376733360 is an abundant number, since it is smaller than the sum of its proper divisors (281485941840).

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

106376733360 is a wasteful number, since it uses less digits than its factorization.

106376733360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 45.

The spelling of 106376733360 in words is "one hundred six billion, three hundred seventy-six million, seven hundred thirty-three thousand, three hundred sixty".