106870148100 has 243 divisors, whose sum is σ = 356398259581. Its totient is φ = 26780467200.

The previous prime is 106870148069. The next prime is 106870148107. The reversal of 106870148100 is 1841078601.

The square root of 106870148100 is 326910.

It is a perfect power (a square), and thus also a powerful number.

106870148100 is a `hidden beast` number, since 106 + 8 + 70 + 1 + 481 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2840676804 + 104029471296 = 53298^2 + 322536^2 .

It is a super-2 number, since 2×106870148100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106870148107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 166723780 + ... + 166724420.

Almost surely, 2^106870148100 is an apocalyptic number.

106870148100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106870148100 is the 326910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106870148100

106870148100 is an abundant number, since it is smaller than the sum of its proper divisors (249528111481).

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

106870148100 is a wasteful number, since it uses less digits than its factorization.

106870148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Multiplying 106870148100 by its sum of digits (36), we get a square (3847325331600 = 1961460²).

106870148100 divided by its sum of digits (36) gives a square (2968615225 = 54485²).

The spelling of 106870148100 in words is "one hundred six billion, eight hundred seventy million, one hundred forty-eight thousand, one hundred".