106466971400 has 96 divisors (see below), whose sum is σ = 253838831400. Its totient is φ = 41504563200.

The previous prime is 106466971367. The next prime is 106466971469. The reversal of 106466971400 is 4179664601.

It can be written as a sum of positive squares in 12 ways, for example, as 35548085764 + 70918885636 = 188542^2 + 266306^2 .

It is a super-2 number, since 2×106466971400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8464316 + ... + 8476884.

Almost surely, 2^106466971400 is an apocalyptic number.

106466971400 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 106466971400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126919415700).

106466971400 is an abundant number, since it is smaller than the sum of its proper divisors (147371860000).

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

106466971400 is a wasteful number, since it uses less digits than its factorization.

106466971400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13659 (or 13650 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 106466971400 in words is "one hundred six billion, four hundred sixty-six million, nine hundred seventy-one thousand, four hundred".