106514463372 has 96 divisors (see below), whose sum is σ = 263819001600. Its totient is φ = 33353793792.

The previous prime is 106514463371. The next prime is 106514463379. The reversal of 106514463372 is 273364415601.

It is a super-2 number, since 2×106514463372² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106514463371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15219378 + ... + 15226374.

It is an arithmetic number, because the mean of its divisors is an integer number (2748114600).

Almost surely, 2^106514463372 is an apocalyptic number.

106514463372 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 106514463372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131909500800).

106514463372 is an abundant number, since it is smaller than the sum of its proper divisors (157304538228).

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

106514463372 is a wasteful number, since it uses less digits than its factorization.

106514463372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

Adding to 106514463372 its reverse (273364415601), we get a palindrome (379878878973).

The spelling of 106514463372 in words is "one hundred six billion, five hundred fourteen million, four hundred sixty-three thousand, three hundred seventy-two".