106610461546460 has 192 divisors, whose sum is σ = 257156288040960. Its totient is φ = 36912374231040.

The previous prime is 106610461546451. The next prime is 106610461546487. The reversal of 106610461546460 is 64645164016601.

It is a super-2 number, since 2×106610461546460² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106610461546399 and 106610461546408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13590371 + ... + 19947909.

It is an arithmetic number, because the mean of its divisors is an integer number (1339355666880).

Almost surely, 2^{106610461546460} is an apocalyptic number.

106610461546460 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 106610461546460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128578144020480).

106610461546460 is an abundant number, since it is smaller than the sum of its proper divisors (150545826494500).

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

106610461546460 is a wasteful number, since it uses less digits than its factorization.

106610461546460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357676 (or 6357674 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 106610461546460 in words is "one hundred six trillion, six hundred ten billion, four hundred sixty-one million, five hundred forty-six thousand, four hundred sixty".