106612463636262 has 128 divisors (see below), whose sum is σ = 245372557824000. Its totient is φ = 34276902865920.

The previous prime is 106612463636257. The next prime is 106612463636269. The reversal of 106612463636262 is 262636364216601.

106612463636262 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 2 + 4 + 6 + 3 + 6 + 3 + 626 + 2 = 666.

It is a super-2 number, since 2×106612463636262² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106612463636199 and 106612463636208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106612463636269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629592118 + ... + 629761430.

It is an arithmetic number, because the mean of its divisors is an integer number (1916973108000).

Almost surely, 2^{106612463636262} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106612463636262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122686278912000).

106612463636262 is an abundant number, since it is smaller than the sum of its proper divisors (138760094187738).

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

106612463636262 is a wasteful number, since it uses less digits than its factorization.

106612463636262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170603 (or 170597 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 106612463636262 in words is "one hundred six trillion, six hundred twelve billion, four hundred sixty-three million, six hundred thirty-six thousand, two hundred sixty-two".