106687829621 has 16 divisors (see below), whose sum is σ = 110372682240. Its totient is φ = 103018491840.

The previous prime is 106687829597. The next prime is 106687829629. The reversal of 106687829621 is 126928786601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106687829621 - 2⁶ = 106687829557 is a prime.

It is a super-2 number, since 2×106687829621² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106687829629) 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, 36078275 + ... + 36081231.

It is an arithmetic number, because the mean of its divisors is an integer number (6898292640).

Almost surely, 2^106687829621 is an apocalyptic number.

It is an amenable number.

106687829621 is a deficient number, since it is larger than the sum of its proper divisors (3684852619).

106687829621 is a wasteful number, since it uses less digits than its factorization.

106687829621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164.

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 106687829621 in words is "one hundred six billion, six hundred eighty-seven million, eight hundred twenty-nine thousand, six hundred twenty-one".