10506141450 has 288 divisors, whose sum is σ = 34149897600. Its totient is φ = 2400451200.

The previous prime is 10506141403. The next prime is 10506141469. The reversal of 10506141450 is 5414160501.

10506141450 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 614 + 1 + 45 + 0 = 666.

It is a super-2 number, since 2×10506141450² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4166190 + ... + 4168710.

Almost surely, 2^10506141450 is an apocalyptic number.

10506141450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506141450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074948800).

10506141450 is an abundant number, since it is smaller than the sum of its proper divisors (23643756150).

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

10506141450 is an equidigital number, since it uses as much as digits as its factorization.

10506141450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10506141450 in words is "ten billion, five hundred six million, one hundred forty-one thousand, four hundred fifty".