106007198560 has 192 divisors, whose sum is σ = 273441873600. Its totient is φ = 38682427392.

The previous prime is 106007198533. The next prime is 106007198587. The reversal of 106007198560 is 65891700601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106007198533) and next prime (106007198587).

It is a super-2 number, since 2×106007198560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38171892 + ... + 38174668.

It is an arithmetic number, because the mean of its divisors is an integer number (1424176425).

Almost surely, 2^106007198560 is an apocalyptic number.

106007198560 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 106007198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136720936800).

106007198560 is an abundant number, since it is smaller than the sum of its proper divisors (167434675040).

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

106007198560 is a wasteful number, since it uses less digits than its factorization.

106007198560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 106007198560 in words is "one hundred six billion, seven million, one hundred ninety-eight thousand, five hundred sixty".