106401132530 has 128 divisors (see below), whose sum is σ = 247426721280. Its totient is φ = 31966986240.

The previous prime is 106401132491. The next prime is 106401132557. The reversal of 106401132530 is 35231104601.

It is a super-2 number, since 2×106401132530² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106401132530.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14577842 + ... + 14585138.

It is an arithmetic number, because the mean of its divisors is an integer number (1933021260).

Almost surely, 2^106401132530 is an apocalyptic number.

106401132530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106401132530 is an abundant number, since it is smaller than the sum of its proper divisors (141025588750).

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

106401132530 is a wasteful number, since it uses less digits than its factorization.

106401132530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004.

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 106401132530 in words is "one hundred six billion, four hundred one million, one hundred thirty-two thousand, five hundred thirty".