106162602048 has 392 divisors, whose sum is σ = 337220780472. Its totient is φ = 33028964352.

The previous prime is 106162602019. The next prime is 106162602071. The reversal of 106162602048 is 840206261601.

106162602048 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 2 + 602 + 0 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59786118144 + 46376483904 = 244512^2 + 215352^2 .

It is a super-2 number, since 2×106162602048² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 108661336 + ... + 108662312.

Almost surely, 2^106162602048 is an apocalyptic number.

106162602048 is a gapful number since it is divisible by the number (18) 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 106162602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168610390236).

106162602048 is an abundant number, since it is smaller than the sum of its proper divisors (231058178424).

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

106162602048 is an equidigital number, since it uses as much as digits as its factorization.

106162602048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 106162602048 its reverse (840206261601), we get a palindrome (946368863649).

The spelling of 106162602048 in words is "one hundred six billion, one hundred sixty-two million, six hundred two thousand, forty-eight".