106546117248 has 96 divisors (see below), whose sum is σ = 307255628160. Its totient is φ = 35439143424.

The previous prime is 106546117241. The next prime is 106546117261. The reversal of 106546117248 is 842711645601.

106546117248 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 4 + 611 + 7 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106546117248² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106546117241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438961 + ... + 637007.

It is an arithmetic number, because the mean of its divisors is an integer number (3200579460).

Almost surely, 2^106546117248 is an apocalyptic number.

106546117248 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 106546117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153627814080).

106546117248 is an abundant number, since it is smaller than the sum of its proper divisors (200709510912).

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

106546117248 is a wasteful number, since it uses less digits than its factorization.

106546117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198534 (or 198519 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 106546117248 in words is "one hundred six billion, five hundred forty-six million, one hundred seventeen thousand, two hundred forty-eight".