106019746560 has 1440 divisors, whose sum is σ = 495114947712. Its totient is φ = 21021327360.

The previous prime is 106019746549. The next prime is 106019746579. The reversal of 106019746560 is 65647910601.

106019746560 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 19 + 74 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×106019746560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160392630 + ... + 160393290.

Almost surely, 2^106019746560 is an apocalyptic number.

106019746560 is a gapful number since it is divisible by the number (10) 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 106019746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247557473856).

106019746560 is an abundant number, since it is smaller than the sum of its proper divisors (389095201152).

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

106019746560 is a wasteful number, since it uses less digits than its factorization.

106019746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 106019746560 in words is "one hundred six billion, nineteen million, seven hundred forty-six thousand, five hundred sixty".