106071677754 has 32 divisors (see below), whose sum is σ = 243277050240. Its totient is φ = 30202756032.

The previous prime is 106071677753. The next prime is 106071677779. The reversal of 106071677754 is 457776170601.

106071677754 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 2×106071677754² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106071677697 and 106071677706.

It is not an unprimeable number, because it can be changed into a prime (106071677753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4297449 + ... + 4322060.

It is an arithmetic number, because the mean of its divisors is an integer number (7602407820).

Almost surely, 2^106071677754 is an apocalyptic number.

106071677754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106071677754 is an abundant number, since it is smaller than the sum of its proper divisors (137205372486).

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

106071677754 is a wasteful number, since it uses less digits than its factorization.

106071677754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619814.

The product of its (nonzero) digits is 1728720, while the sum is 51.

The spelling of 106071677754 in words is "one hundred six billion, seventy-one million, six hundred seventy-seven thousand, seven hundred fifty-four".