106062840 has 192 divisors, whose sum is σ = 376215840. Its totient is φ = 25758720.

The previous prime is 106062833. The next prime is 106062841. The reversal of 106062840 is 48260601.

106062840 is a `hidden beast` number, since 10 + 606 + 2 + 8 + 40 = 666.

It is a super-2 number, since 2×106062840² = 22498652057731200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106062841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612994 + ... + 613166.

Almost surely, 2^106062840 is an apocalyptic number.

106062840 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 106062840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188107920).

106062840 is an abundant number, since it is smaller than the sum of its proper divisors (270153000).

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

106062840 is a wasteful number, since it uses less digits than its factorization.

106062840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106062840 is about 10298.6814690037. The cubic root of 106062840 is about 473.3558520442.

The spelling of 106062840 in words is "one hundred six million, sixty-two thousand, eight hundred forty".