106451173920 has 384 divisors, whose sum is σ = 436982708736. Its totient is φ = 21138702336.

The previous prime is 106451173901. The next prime is 106451173921. The reversal of 106451173920 is 29371154601.

It is a super-2 number, since 2×106451173920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (106451173921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670882 + ... + 814238.

It is an arithmetic number, because the mean of its divisors is an integer number (1137975804).

Almost surely, 2^106451173920 is an apocalyptic number.

106451173920 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 106451173920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218491354368).

106451173920 is an abundant number, since it is smaller than the sum of its proper divisors (330531534816).

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

106451173920 is a wasteful number, since it uses less digits than its factorization.

106451173920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143412 (or 143404 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 106451173920 in words is "one hundred six billion, four hundred fifty-one million, one hundred seventy-three thousand, nine hundred twenty".