106419392520 has 64 divisors (see below), whose sum is σ = 364866491520. Its totient is φ = 24324432384.

The previous prime is 106419392459. The next prime is 106419392543. The reversal of 106419392520 is 25293914601.

106419392520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106419392520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63344037 + ... + 63345716.

It is an arithmetic number, because the mean of its divisors is an integer number (5701038930).

Almost surely, 2^106419392520 is an apocalyptic number.

106419392520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106419392520 is an abundant number, since it is smaller than the sum of its proper divisors (258447099000).

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

106419392520 is a wasteful number, since it uses less digits than its factorization.

106419392520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126689774 (or 126689770 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 106419392520 in words is "one hundred six billion, four hundred nineteen million, three hundred ninety-two thousand, five hundred twenty".