106010437248 has 192 divisors, whose sum is σ = 310727944800. Its totient is φ = 34681780224.

The previous prime is 106010437219. The next prime is 106010437339. The reversal of 106010437248 is 842734010601.

106010437248 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 4 + 3 + 7 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106010437248² (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 23 ways as a sum of consecutive naturals, for example, 74288311 + ... + 74289737.

Almost surely, 2^106010437248 is an apocalyptic number.

106010437248 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 106010437248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155363972400).

106010437248 is an abundant number, since it is smaller than the sum of its proper divisors (204717507552).

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

106010437248 is a wasteful number, since it uses less digits than its factorization.

106010437248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 106010437248 its reverse (842734010601), we get a palindrome (948744447849).

The spelling of 106010437248 in words is "one hundred six billion, ten million, four hundred thirty-seven thousand, two hundred forty-eight".