106120018500 has 192 divisors, whose sum is σ = 315523143936. Its totient is φ = 27705600000.

The previous prime is 106120018469. The next prime is 106120018517. The reversal of 106120018500 is 5810021601.

It is a super-2 number, since 2×106120018500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47142375 + ... + 47144625.

It is an arithmetic number, because the mean of its divisors is an integer number (1643349708).

Almost surely, 2^106120018500 is an apocalyptic number.

106120018500 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 106120018500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157761571968).

106120018500 is an abundant number, since it is smaller than the sum of its proper divisors (209403125436).

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

106120018500 is a wasteful number, since it uses less digits than its factorization.

106120018500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 106120018500 in words is "one hundred six billion, one hundred twenty million, eighteen thousand, five hundred".