106011010600 has 192 divisors, whose sum is σ = 285118626240. Its totient is φ = 36228403200.

The previous prime is 106011010597. The next prime is 106011010603. The reversal of 106011010600 is 6010110601.

It is an interprime number because it is at equal distance from previous prime (106011010597) and next prime (106011010603).

It is a super-2 number, since 2×106011010600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106011010603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31900539 + ... + 31903861.

It is an arithmetic number, because the mean of its divisors is an integer number (1484992845).

Almost surely, 2^106011010600 is an apocalyptic number.

106011010600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106011010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142559313120).

106011010600 is an abundant number, since it is smaller than the sum of its proper divisors (179107615640).

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

106011010600 is a wasteful number, since it uses less digits than its factorization.

106011010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 10601 and 1010600, that added together give a palindrome (1021201).

The spelling of 106011010600 in words is "one hundred six billion, eleven million, ten thousand, six hundred".