10434622500 has 225 divisors, whose sum is σ = 34237617799. Its totient is φ = 2770308000.

The previous prime is 10434622493. The next prime is 10434622567. The reversal of 10434622500 is 522643401.

The square root of 10434622500 is 102150.

It is a perfect power (a square), and thus also a powerful number.

10434622500 is a `hidden beast` number, since 1 + 0 + 4 + 34 + 622 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 818074404 + 9616548096 = 28602^2 + 98064^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 45967387 + ... + 45967613.

Almost surely, 2^10434622500 is an apocalyptic number.

10434622500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10434622500 is the 102150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434622500

10434622500 is an abundant number, since it is smaller than the sum of its proper divisors (23802995299).

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

10434622500 is an frugal number, since it uses more digits than its factorization.

10434622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 10434622500 in words is "ten billion, four hundred thirty-four million, six hundred twenty-two thousand, five hundred".