106114003886352 has 480 divisors, whose sum is σ = 360287620116480. Its totient is φ = 26580663997440.

The previous prime is 106114003886351. The next prime is 106114003886467. The reversal of 106114003886352 is 253688300411601.

It is a super-2 number, since 2×106114003886352² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (106114003886351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 647416603 + ... + 647580485.

It is an arithmetic number, because the mean of its divisors is an integer number (750599208576).

Almost surely, 2^{106114003886352} is an apocalyptic number.

106114003886352 is a gapful number since it is divisible by the number (12) 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 106114003886352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180143810058240).

106114003886352 is an abundant number, since it is smaller than the sum of its proper divisors (254173616230128).

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

106114003886352 is a wasteful number, since it uses less digits than its factorization.

106114003886352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164811 (or 164798 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 106114003886352 in words is "one hundred six trillion, one hundred fourteen billion, three million, eight hundred eighty-six thousand, three hundred fifty-two".