106759450014 has 48 divisors (see below), whose sum is σ = 259178237568. Its totient is φ = 29176493808.

The previous prime is 106759449989. The next prime is 106759450019. The reversal of 106759450014 is 410054957601.

106759450014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106759450014² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106759450019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7887312 + ... + 7900835.

It is an arithmetic number, because the mean of its divisors is an integer number (5399546616).

Almost surely, 2^106759450014 is an apocalyptic number.

106759450014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106759450014 is an abundant number, since it is smaller than the sum of its proper divisors (152418787554).

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

106759450014 is a wasteful number, since it uses less digits than its factorization.

106759450014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15788189 (or 15788182 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 106759450014 in words is "one hundred six billion, seven hundred fifty-nine million, four hundred fifty thousand, fourteen".