106304649972 has 24 divisors (see below), whose sum is σ = 248056240992. Its totient is φ = 35433160800.

The previous prime is 106304649953. The next prime is 106304649973. The reversal of 106304649972 is 279946403601.

It is a happy number.

It is a super-2 number, since 2×106304649972² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106304649973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55447 + ... + 464417.

It is an arithmetic number, because the mean of its divisors is an integer number (10335676708).

Almost surely, 2^106304649972 is an apocalyptic number.

106304649972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106304649972 is an abundant number, since it is smaller than the sum of its proper divisors (141751591020).

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

106304649972 is a wasteful number, since it uses less digits than its factorization.

106304649972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430639 (or 430637 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 106304649972 in words is "one hundred six billion, three hundred four million, six hundred forty-nine thousand, nine hundred seventy-two".