106216235466100 has 36 divisors (see below), whose sum is σ = 230679247078924. Its totient is φ = 42451468174080.

The previous prime is 106216235466073. The next prime is 106216235466101. The reversal of 106216235466100 is 1664532612601.

It can be written as a sum of positive squares in 6 ways, for example, as 3708143327716 + 102508092138384 = 1925654^2 + 10124628^2 .

It is a super-2 number, since 2×106216235466100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106216235466101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437703249 + ... + 437945848.

Almost surely, 2^{106216235466100} is an apocalyptic number.

106216235466100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106216235466100 is an abundant number, since it is smaller than the sum of its proper divisors (124463011612824).

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

106216235466100 is a wasteful number, since it uses less digits than its factorization.

106216235466100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875650324 (or 875650317 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 106216235466100 in words is "one hundred six trillion, two hundred sixteen billion, two hundred thirty-five million, four hundred sixty-six thousand, one hundred".