106216611000 has 128 divisors (see below), whose sum is σ = 337649083200. Its totient is φ = 27789964800.

The previous prime is 106216610933. The next prime is 106216611157. The reversal of 106216611000 is 116612601.

It is a super-2 number, since 2×106216611000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 175015 + ... + 493014.

Almost surely, 2^106216611000 is an apocalyptic number.

106216611000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106216611000 is an abundant number, since it is smaller than the sum of its proper divisors (231432472200).

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

106216611000 is a wasteful number, since it uses less digits than its factorization.

106216611000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668106 (or 668092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 106216611000 in words is "one hundred six billion, two hundred sixteen million, six hundred eleven thousand".