106067500000 has 768 divisors, whose sum is σ = 354374092800. Its totient is φ = 30240000000.

The previous prime is 106067499991. The next prime is 106067500039. The reversal of 106067500000 is 5760601.

It is a super-2 number, since 2×106067500000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3657499986 + ... + 3657500014.

It is an arithmetic number, because the mean of its divisors is an integer number (461424600).

Almost surely, 2^106067500000 is an apocalyptic number.

106067500000 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 106067500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177187046400).

106067500000 is an abundant number, since it is smaller than the sum of its proper divisors (248306592800).

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

106067500000 is an frugal number, since it uses more digits than its factorization.

106067500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The spelling of 106067500000 in words is "one hundred six billion, sixty-seven million, five hundred thousand".