106257559968 has 720 divisors, whose sum is σ = 398411826120. Its totient is φ = 27571912704.

The previous prime is 106257559943. The next prime is 106257559981. The reversal of 106257559968 is 869955752601.

106257559968 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 575 + 59 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105840910224 + 416649744 = 325332^2 + 20412^2 .

It is a super-2 number, since 2×106257559968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62614096 + ... + 62615792.

Almost surely, 2^106257559968 is an apocalyptic number.

106257559968 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 106257559968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199205913060).

106257559968 is an abundant number, since it is smaller than the sum of its proper divisors (292154266152).

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

106257559968 is a wasteful number, since it uses less digits than its factorization.

106257559968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 106257559968 in words is "one hundred six billion, two hundred fifty-seven million, five hundred fifty-nine thousand, nine hundred sixty-eight".