106241639078400 has 1920 divisors, whose sum is σ = 414727144144896. Its totient is φ = 23477000601600.

The previous prime is 106241639078389. The next prime is 106241639078423. The reversal of 106241639078400 is 4870936142601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×106241639078400² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 339430156644 + ... + 339430156956.

Almost surely, 2^{106241639078400} is an apocalyptic number.

106241639078400 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 106241639078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207363572072448).

106241639078400 is an abundant number, since it is smaller than the sum of its proper divisors (308485505066496).

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

106241639078400 is a wasteful number, since it uses less digits than its factorization.

106241639078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 106241639078400 in words is "one hundred six trillion, two hundred forty-one billion, six hundred thirty-nine million, seventy-eight thousand, four hundred".