106693033515840 has 280 divisors, whose sum is σ = 379583839520160. Its totient is φ = 28447131405312.

The previous prime is 106693033515829. The next prime is 106693033515847. The reversal of 106693033515840 is 48515330396601.

106693033515840 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 9 + 3 + 0 + 3 + 3 + 51 + 584 + 0 = 666.

It is a super-2 number, since 2×106693033515840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106693033515847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171253539 + ... + 171875421.

Almost surely, 2^{106693033515840} is an apocalyptic number.

106693033515840 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 106693033515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189791919760080).

106693033515840 is an abundant number, since it is smaller than the sum of its proper divisors (272890806004320).

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

106693033515840 is an equidigital number, since it uses as much as digits as its factorization.

106693033515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628531 (or 628512 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 106693033515840 in words is "one hundred six trillion, six hundred ninety-three billion, thirty-three million, five hundred fifteen thousand, eight hundred forty".