10451106233400 has 384 divisors, whose sum is σ = 37633733429760. Its totient is φ = 2349768960000.

The previous prime is 10451106233341. The next prime is 10451106233423. The reversal of 10451106233400 is 433260115401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197234910 + ... + 197287890.

It is an arithmetic number, because the mean of its divisors is an integer number (98004514140).

Almost surely, 2^{10451106233400} is an apocalyptic number.

10451106233400 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 10451106233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816866714880).

10451106233400 is an abundant number, since it is smaller than the sum of its proper divisors (27182627196360).

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

10451106233400 is a wasteful number, since it uses less digits than its factorization.

10451106233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53775 (or 53766 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10451106233400 its reverse (433260115401), we get a palindrome (10884366348801).

The spelling of 10451106233400 in words is "ten trillion, four hundred fifty-one billion, one hundred six million, two hundred thirty-three thousand, four hundred".