107226327936 has 512 divisors, whose sum is σ = 381790080000. Its totient is φ = 25862602752.

The previous prime is 107226327863. The next prime is 107226327937. The reversal of 107226327936 is 639723622701.

It is a super-2 number, since 2×107226327936² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107226327937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19251360 + ... + 19256928.

It is an arithmetic number, because the mean of its divisors is an integer number (745683750).

Almost surely, 2^107226327936 is an apocalyptic number.

107226327936 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 107226327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190895040000).

107226327936 is an abundant number, since it is smaller than the sum of its proper divisors (274563752064).

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

107226327936 is a wasteful number, since it uses less digits than its factorization.

107226327936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 107226327936 in words is "one hundred seven billion, two hundred twenty-six million, three hundred twenty-seven thousand, nine hundred thirty-six".