106120000 has 140 divisors (see below), whose sum is σ = 301528480. Its totient is φ = 36288000.

The previous prime is 106119991. The next prime is 106120061. The reversal of 106120000 is 21601.

It is a tau number, because it is divible by the number of its divisors (140).

It is a super-2 number, since 2×106120000² = 22522908800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279811 + ... + 280189.

Almost surely, 2^106120000 is an apocalyptic number.

106120000 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 106120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150764240).

106120000 is an abundant number, since it is smaller than the sum of its proper divisors (195408480).

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

106120000 is an frugal number, since it uses more digits than its factorization.

106120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 106120000 is about 10301.4562077407. The cubic root of 106120000 is about 473.4408713321.

Adding to 106120000 its reverse (21601), we get a palindrome (106141601).

The spelling of 106120000 in words is "one hundred six million, one hundred twenty thousand".