106335734640 has 80 divisors (see below), whose sum is σ = 329909911200. Its totient is φ = 28333044736.

The previous prime is 106335734629. The next prime is 106335734657. The reversal of 106335734640 is 46437533601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106335734640² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106335734592 and 106335734601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114706 + ... + 475214.

It is an arithmetic number, because the mean of its divisors is an integer number (4123873890).

Almost surely, 2^106335734640 is an apocalyptic number.

106335734640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106335734640 is an abundant number, since it is smaller than the sum of its proper divisors (223574176560).

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

106335734640 is a wasteful number, since it uses less digits than its factorization.

106335734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361754 (or 361748 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 106335734640 in words is "one hundred six billion, three hundred thirty-five million, seven hundred thirty-four thousand, six hundred forty".