106215241200 has 120 divisors (see below), whose sum is σ = 340514174448. Its totient is φ = 28301475840.

The previous prime is 106215241189. The next prime is 106215241211. The reversal of 106215241200 is 2142512601.

It is an interprime number because it is at equal distance from previous prime (106215241189) and next prime (106215241211).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106215241200² (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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1497744 + ... + 1567056.

Almost surely, 2^106215241200 is an apocalyptic number.

106215241200 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 106215241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170257087224).

106215241200 is an abundant number, since it is smaller than the sum of its proper divisors (234298933248).

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

106215241200 is a wasteful number, since it uses less digits than its factorization.

106215241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70611 (or 70600 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 106215241200 its reverse (2142512601), we get a palindrome (108357753801).

The spelling of 106215241200 in words is "one hundred six billion, two hundred fifteen million, two hundred forty-one thousand, two hundred".