107211307632 has 320 divisors, whose sum is σ = 334103616000. Its totient is φ = 29190389760.

The previous prime is 107211307627. The next prime is 107211307673. The reversal of 107211307632 is 236703112701.

It is a super-2 number, since 2×107211307632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 107211307593 and 107211307602.

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 63 ways as a sum of consecutive naturals, for example, 132522844 + ... + 132523652.

It is an arithmetic number, because the mean of its divisors is an integer number (1044073800).

Almost surely, 2^107211307632 is an apocalyptic number.

107211307632 is a gapful number since it is divisible by the number (12) 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 107211307632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167051808000).

107211307632 is an abundant number, since it is smaller than the sum of its proper divisors (226892308368).

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

107211307632 is a wasteful number, since it uses less digits than its factorization.

107211307632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 107211307632 in words is "one hundred seven billion, two hundred eleven million, three hundred seven thousand, six hundred thirty-two".