106101058002 has 32 divisors (see below), whose sum is σ = 224702154432. Its totient is φ = 33284004864.

The previous prime is 106101057973. The next prime is 106101058013. The reversal of 106101058002 is 200850101601.

106101058002 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 2×106101058002² (a number of 23 digits) contains 22 as substring.

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, 1589818 + ... + 1655210.

It is an arithmetic number, because the mean of its divisors is an integer number (7021942326).

Almost surely, 2^106101058002 is an apocalyptic number.

106101058002 is an abundant number, since it is smaller than the sum of its proper divisors (118601096430).

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

106101058002 is a wasteful number, since it uses less digits than its factorization.

106101058002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81322.

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 106101058002 its reverse (200850101601), we get a palindrome (306951159603).

The spelling of 106101058002 in words is "one hundred six billion, one hundred one million, fifty-eight thousand, two".