106306710000800 has 216 divisors, whose sum is σ = 287671537280736. Its totient is φ = 38281289052160.

The previous prime is 106306710000797. The next prime is 106306710000833. The reversal of 106306710000800 is 8000017603601.

It is a super-2 number, since 2×106306710000800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4678142 + ... + 15313341.

It is an arithmetic number, because the mean of its divisors is an integer number (1331812672596).

Almost surely, 2^{106306710000800} is an apocalyptic number.

106306710000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106306710000800 is an abundant number, since it is smaller than the sum of its proper divisors (181364827279936).

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

106306710000800 is a wasteful number, since it uses less digits than its factorization.

106306710000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19991560 (or 19991530 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 106306710000800 in words is "one hundred six trillion, three hundred six billion, seven hundred ten million, eight hundred", and thus it is an aban number.