106653042402400 has 288 divisors, whose sum is σ = 281842717974048. Its totient is φ = 39176519270400.

The previous prime is 106653042402397. The next prime is 106653042402409. The reversal of 106653042402400 is 4204240356601.

It is a super-2 number, since 2×106653042402400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106653042402400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106653042402409) 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, 3260248444 + ... + 3260281156.

It is an arithmetic number, because the mean of its divisors is an integer number (978620548521).

Almost surely, 2^{106653042402400} is an apocalyptic number.

106653042402400 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 106653042402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140921358987024).

106653042402400 is an abundant number, since it is smaller than the sum of its proper divisors (175189675571648).

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

106653042402400 is a wasteful number, since it uses less digits than its factorization.

106653042402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34354 (or 34341 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 106653042402400 in words is "one hundred six trillion, six hundred fifty-three billion, forty-two million, four hundred two thousand, four hundred".