106757726420 has 24 divisors (see below), whose sum is σ = 237378945384. Its totient is φ = 40191143936.

The previous prime is 106757726407. The next prime is 106757726429. The reversal of 106757726420 is 24627757601.

It can be written as a sum of positive squares in 4 ways, for example, as 38408944324 + 68348782096 = 195982^2 + 261436^2 .

It is a super-2 number, since 2×106757726420² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106757726429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156996317 + ... + 156996996.

It is an arithmetic number, because the mean of its divisors is an integer number (9890789391).

Almost surely, 2^106757726420 is an apocalyptic number.

106757726420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106757726420 is an abundant number, since it is smaller than the sum of its proper divisors (130621218964).

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

106757726420 is a wasteful number, since it uses less digits than its factorization.

106757726420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313993339 (or 313993337 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 47.

The spelling of 106757726420 in words is "one hundred six billion, seven hundred fifty-seven million, seven hundred twenty-six thousand, four hundred twenty".