106015111104 has 84 divisors (see below), whose sum is σ = 326293986984. Its totient is φ = 30290029056.

The previous prime is 106015111063. The next prime is 106015111121. The reversal of 106015111104 is 401111510601.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×106015111104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5624899 + ... + 5643714.

It is an arithmetic number, because the mean of its divisors is an integer number (3884452226).

Almost surely, 2^106015111104 is an apocalyptic number.

106015111104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106015111104 is an abundant number, since it is smaller than the sum of its proper divisors (220278875880).

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

106015111104 is a wasteful number, since it uses less digits than its factorization.

106015111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11268642 (or 11268625 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 21.

Adding to 106015111104 its reverse (401111510601), we get a palindrome (507126621705).

The spelling of 106015111104 in words is "one hundred six billion, fifteen million, one hundred eleven thousand, one hundred four".