106051000032 has 96 divisors (see below), whose sum is σ = 315896716800. Its totient is φ = 34598185344.

The previous prime is 106051000019. The next prime is 106051000051. The reversal of 106051000032 is 230000150601.

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

It is a super-2 number, since 2×106051000032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106050999969 and 106051000014.

It is a congruent number.

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, 1265182 + ... + 1346397.

It is an arithmetic number, because the mean of its divisors is an integer number (3290590800).

Almost surely, 2^106051000032 is an apocalyptic number.

106051000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106051000032 is an abundant number, since it is smaller than the sum of its proper divisors (209845716768).

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

106051000032 is a wasteful number, since it uses less digits than its factorization.

106051000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611645 (or 2611631 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 106051000032 its reverse (230000150601), we get a palindrome (336051150633).

The spelling of 106051000032 in words is "one hundred six billion, fifty-one million, thirty-two", and thus it is an aban number.