106416041200 has 360 divisors, whose sum is σ = 312827549184. Its totient is φ = 34013337600.

The previous prime is 106416041161. The next prime is 106416041219. The reversal of 106416041200 is 2140614601.

It is a super-2 number, since 2×106416041200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108255909 + ... + 108256891.

Almost surely, 2^106416041200 is an apocalyptic number.

106416041200 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 106416041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156413774592).

106416041200 is an abundant number, since it is smaller than the sum of its proper divisors (206411507984).

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

106416041200 is a wasteful number, since it uses less digits than its factorization.

106416041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 106416041200 its reverse (2140614601), we get a palindrome (108556655801).

The spelling of 106416041200 in words is "one hundred six billion, four hundred sixteen million, forty-one thousand, two hundred".