106034631863700 has 288 divisors, whose sum is σ = 331835869145088. Its totient is φ = 26039780096000.

The previous prime is 106034631863689. The next prime is 106034631863789. The reversal of 106034631863700 is 7368136430601.

It is a super-2 number, since 2×106034631863700² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106034631863700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 980558635 + ... + 980666765.

It is an arithmetic number, because the mean of its divisors is an integer number (1152207878976).

Almost surely, 2^{106034631863700} is an apocalyptic number.

106034631863700 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 106034631863700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165917934572544).

106034631863700 is an abundant number, since it is smaller than the sum of its proper divisors (225801237281388).

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

106034631863700 is a wasteful number, since it uses less digits than its factorization.

106034631863700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112303 (or 112296 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 106034631863700 in words is "one hundred six trillion, thirty-four billion, six hundred thirty-one million, eight hundred sixty-three thousand, seven hundred".