106613626046100 has 144 divisors (see below), whose sum is σ = 309161815877376. Its totient is φ = 28366433600000.

The previous prime is 106613626046093. The next prime is 106613626046101. The reversal of 106613626046100 is 1640626316601.

106613626046100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106613626046100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106613626046101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2616200725 + ... + 2616241475.

It is an arithmetic number, because the mean of its divisors is an integer number (2146957054704).

Almost surely, 2^{106613626046100} is an apocalyptic number.

106613626046100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106613626046100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154580907938688).

106613626046100 is an abundant number, since it is smaller than the sum of its proper divisors (202548189831276).

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

106613626046100 is a wasteful number, since it uses less digits than its factorization.

106613626046100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60146 (or 60139 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 106613626046100 in words is "one hundred six trillion, six hundred thirteen billion, six hundred twenty-six million, forty-six thousand, one hundred".