106154100 has 216 divisors, whose sum is σ = 368400032. Its totient is φ = 25401600.

The previous prime is 106154089. The next prime is 106154129. The reversal of 106154100 is 1451601.

106154100 is a `hidden beast` number, since 10 + 615 + 41 + 0 + 0 = 666.

It is a super-2 number, since 2×106154100² = 22537385893620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 502995 + ... + 503205.

Almost surely, 2^106154100 is an apocalyptic number.

106154100 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 106154100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184200016).

106154100 is an abundant number, since it is smaller than the sum of its proper divisors (262245932).

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

106154100 is a wasteful number, since it uses less digits than its factorization.

106154100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106154100 is about 10303.1111806095. Note that the first 4 decimals coincide. The cubic root of 106154100 is about 473.4915768378.

The spelling of 106154100 in words is "one hundred six million, one hundred fifty-four thousand, one hundred".