106558064613840 has 160 divisors (see below), whose sum is σ = 383918644776960. Its totient is φ = 23943313285632.

The previous prime is 106558064613809. The next prime is 106558064613853. The reversal of 106558064613840 is 48316460855601.

It is a happy number.

It is a super-2 number, since 2×106558064613840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537421384 + ... + 537619623.

It is an arithmetic number, because the mean of its divisors is an integer number (2399491529856).

Almost surely, 2^{106558064613840} is an apocalyptic number.

106558064613840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106558064613840 is an abundant number, since it is smaller than the sum of its proper divisors (277360580163120).

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

106558064613840 is a wasteful number, since it uses less digits than its factorization.

106558064613840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075041089 (or 1075041083 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 106558064613840 in words is "one hundred six trillion, five hundred fifty-eight billion, sixty-four million, six hundred thirteen thousand, eight hundred forty".