106794213750 has 240 divisors, whose sum is σ = 344978259120. Its totient is φ = 24409728000.

The previous prime is 106794213739. The next prime is 106794213769. The reversal of 106794213750 is 57312497601.

106794213750 is a `hidden beast` number, since 106 + 79 + 421 + 3 + 7 + 50 = 666.

It is a super-3 number, since 3×106794213750³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 106794213696 and 106794213705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1621462 + ... + 1686038.

It is an arithmetic number, because the mean of its divisors is an integer number (1437409413).

Almost surely, 2^106794213750 is an apocalyptic number.

106794213750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106794213750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172489129560).

106794213750 is an abundant number, since it is smaller than the sum of its proper divisors (238184045370).

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

106794213750 is an equidigital number, since it uses as much as digits as its factorization.

106794213750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64622 (or 64594 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 106794213750 in words is "one hundred six billion, seven hundred ninety-four million, two hundred thirteen thousand, seven hundred fifty".