106007490336 has 96 divisors (see below), whose sum is σ = 305108451648. Its totient is φ = 31960355840.

The previous prime is 106007490307. The next prime is 106007490341. The reversal of 106007490336 is 633094700601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106007490336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106007490294 and 106007490303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46755 + ... + 462818.

It is an arithmetic number, because the mean of its divisors is an integer number (3178213038).

Almost surely, 2^106007490336 is an apocalyptic number.

106007490336 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 106007490336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152554225824).

106007490336 is an abundant number, since it is smaller than the sum of its proper divisors (199100961312).

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

106007490336 is a wasteful number, since it uses less digits than its factorization.

106007490336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509794 (or 509786 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 106007490336 in words is "one hundred six billion, seven million, four hundred ninety thousand, three hundred thirty-six".