106612613401 has 16 divisors (see below), whose sum is σ = 128320128000. Its totient is φ = 86529210768.

The previous prime is 106612613389. The next prime is 106612613449. The reversal of 106612613401 is 104316216601.

It is not a de Polignac number, because 106612613401 - 2¹¹ = 106612611353 is a prime.

It is a super-2 number, since 2×106612613401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106612611401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66300 + ... + 466498.

It is an arithmetic number, because the mean of its divisors is an integer number (8020008000).

Almost surely, 2^106612613401 is an apocalyptic number.

It is an amenable number.

106612613401 is a deficient number, since it is larger than the sum of its proper divisors (21707514599).

106612613401 is a wasteful number, since it uses less digits than its factorization.

106612613401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402228.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 106612613401 in words is "one hundred six billion, six hundred twelve million, six hundred thirteen thousand, four hundred one".