106425017986560 has 1920 divisors, whose sum is σ = 451964341002240. Its totient is φ = 20841945366528.

The previous prime is 106425017986519. The next prime is 106425017986583. The reversal of 106425017986560 is 65689710524601.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×106425017986560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 106425017986494 and 106425017986503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11275026321 + ... + 11275035759.

It is an arithmetic number, because the mean of its divisors is an integer number (235398094272).

Almost surely, 2^{106425017986560} is an apocalyptic number.

106425017986560 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 106425017986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225982170501120).

106425017986560 is an abundant number, since it is smaller than the sum of its proper divisors (345539323015680).

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

106425017986560 is a wasteful number, since it uses less digits than its factorization.

106425017986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9588 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 106425017986560 in words is "one hundred six trillion, four hundred twenty-five billion, seventeen million, nine hundred eighty-six thousand, five hundred sixty".