106795167350400 has 3456 divisors, whose sum is σ = 440837186400000. Its totient is φ = 24507231436800.

The previous prime is 106795167350281. The next prime is 106795167350411. The reversal of 106795167350400 is 4053761597601.

106795167350400 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 9 + 516 + 73 + 50 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×106795167350400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 716746089526 + ... + 716746089674.

It is an arithmetic number, because the mean of its divisors is an integer number (127557056250).

Almost surely, 2^{106795167350400} is an apocalyptic number.

106795167350400 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 106795167350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220418593200000).

106795167350400 is an abundant number, since it is smaller than the sum of its proper divisors (334042019049600).

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

106795167350400 is a wasteful number, since it uses less digits than its factorization.

106795167350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 106795167350400 in words is "one hundred six trillion, seven hundred ninety-five billion, one hundred sixty-seven million, three hundred fifty thousand, four hundred".