106140513633414 has 64 divisors (see below), whose sum is σ = 228727147239360. Its totient is φ = 32641936588800.

The previous prime is 106140513633379. The next prime is 106140513633431. The reversal of 106140513633414 is 414336315041601.

It is a happy number.

It is a super-2 number, since 2×106140513633414² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353776614 + ... + 1353855014.

It is an arithmetic number, because the mean of its divisors is an integer number (3573861675615).

Almost surely, 2^{106140513633414} is an apocalyptic number.

106140513633414 is an abundant number, since it is smaller than the sum of its proper divisors (122586633605946).

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

106140513633414 is a wasteful number, since it uses less digits than its factorization.

106140513633414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87065.

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 106140513633414 in words is "one hundred six trillion, one hundred forty billion, five hundred thirteen million, six hundred thirty-three thousand, four hundred fourteen".