106243946976 has 288 divisors, whose sum is σ = 297280368000. Its totient is φ = 33209779200.

The previous prime is 106243946971. The next prime is 106243946981. The reversal of 106243946976 is 679649342601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106243946971) and next prime (106243946981).

It is a super-2 number, since 2×106243946976² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106243946971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 713046550 + ... + 713046698.

It is an arithmetic number, because the mean of its divisors is an integer number (1032223500).

Almost surely, 2^106243946976 is an apocalyptic number.

106243946976 is a gapful number since it is divisible by the number (16) 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 106243946976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148640184000).

106243946976 is an abundant number, since it is smaller than the sum of its proper divisors (191036421024).

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

106243946976 is a wasteful number, since it uses less digits than its factorization.

106243946976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 106243946976 in words is "one hundred six billion, two hundred forty-three million, nine hundred forty-six thousand, nine hundred seventy-six".