106513116202620 has 72 divisors (see below), whose sum is σ = 323188986176784. Its totient is φ = 28394776743168.

The previous prime is 106513116202487. The next prime is 106513116202643. The reversal of 106513116202620 is 26202611315601.

106513116202620 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 3 + 1 + 1 + 6 + 20 + 2 + 620 = 666.

It is a super-2 number, since 2×106513116202620² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90254934 + ... + 91427453.

It is an arithmetic number, because the mean of its divisors is an integer number (4488735919122).

Almost surely, 2^{106513116202620} is an apocalyptic number.

106513116202620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106513116202620 is an abundant number, since it is smaller than the sum of its proper divisors (216675869974164).

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

106513116202620 is a wasteful number, since it uses less digits than its factorization.

106513116202620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181685659 (or 181685654 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106513116202620 in words is "one hundred six trillion, five hundred thirteen billion, one hundred sixteen million, two hundred two thousand, six hundred twenty".