106938000 has 240 divisors, whose sum is σ = 403109616. Its totient is φ = 26265600.

The previous prime is 106937989. The next prime is 106938011. The reversal of 106938000 is 839601.

106938000 is a nontrivial binomial coefficient, being equal to C(14625, 2).

It is an interprime number because it is at equal distance from previous prime (106937989) and next prime (106938011).

It can be written as a sum of positive squares in 8 ways, for example, as 33732864 + 73205136 = 5808^2 + 8556^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106938000² = 22871471688000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233772 + ... + 234228.

Almost surely, 2^106938000 is an apocalyptic number.

106938000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106938000 is the 14624-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201554808).

106938000 is an abundant number, since it is smaller than the sum of its proper divisors (296171616).

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

106938000 is a wasteful number, since it uses less digits than its factorization.

106938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106938000 is about 10341.0831154188. The cubic root of 106938000 is about 474.6542266585.

The spelling of 106938000 in words is "one hundred six million, nine hundred thirty-eight thousand".