106100511105 has 16 divisors (see below), whose sum is σ = 169770642624. Its totient is φ = 56583664320.

The previous prime is 106100511091. The next prime is 106100511119. The reversal of 106100511105 is 501115001601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106100511091) and next prime (106100511119).

It is not a de Polignac number, because 106100511105 - 2¹⁶ = 106100445569 is a prime.

It is a super-2 number, since 2×106100511105² (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, 75510 + ... + 466800.

It is an arithmetic number, because the mean of its divisors is an integer number (10610665164).

Almost surely, 2^106100511105 is an apocalyptic number.

106100511105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106100511105 is a deficient number, since it is larger than the sum of its proper divisors (63670131519).

106100511105 is a wasteful number, since it uses less digits than its factorization.

106100511105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409376.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 106100511105 its reverse (501115001601), we get a palindrome (607215512706).

The spelling of 106100511105 in words is "one hundred six billion, one hundred million, five hundred eleven thousand, one hundred five".