106051010056000 has 112 divisors (see below), whose sum is σ = 262670544274320. Its totient is φ = 42414715699200.

The previous prime is 106051010055979. The next prime is 106051010056001. The reversal of 106051010056000 is 650010150601.

It can be written as a sum of positive squares in 8 ways, for example, as 61332580206144 + 44718429849856 = 7831512^2 + 6687184^2 .

It is a super-2 number, since 2×106051010056000² (a number of 29 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 not an unprimeable number, because it can be changed into a prime (106051010056001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59026944 + ... + 60797056.

It is an arithmetic number, because the mean of its divisors is an integer number (2345272716735).

Almost surely, 2^{106051010056000} is an apocalyptic number.

106051010056000 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 106051010056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131335272137160).

106051010056000 is an abundant number, since it is smaller than the sum of its proper divisors (156619534218320).

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

106051010056000 is an equidigital number, since it uses as much as digits as its factorization.

106051010056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777629 (or 1777609 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 106051010056000 in words is "one hundred six trillion, fifty-one billion, ten million, fifty-six thousand".