106840441400 has 192 divisors, whose sum is σ = 310105152000. Its totient is φ = 33257203200.

The previous prime is 106840441373. The next prime is 106840441403. The reversal of 106840441400 is 4144048601.

It is a super-2 number, since 2×106840441400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106840441403) 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, 12916466 + ... + 12924734.

It is an arithmetic number, because the mean of its divisors is an integer number (1615131000).

Almost surely, 2^106840441400 is an apocalyptic number.

106840441400 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 106840441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155052576000).

106840441400 is an abundant number, since it is smaller than the sum of its proper divisors (203264710600).

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

106840441400 is a wasteful number, since it uses less digits than its factorization.

106840441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142 (or 9133 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 106840441400 in words is "one hundred six billion, eight hundred forty million, four hundred forty-one thousand, four hundred".