10630012536900 has 243 divisors, whose sum is σ = 33553512142423. Its totient is φ = 2814873043200.

The previous prime is 10630012536881. The next prime is 10630012536919. The reversal of 10630012536900 is 963521003601.

The square root of 10630012536900 is 3260370.

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

10630012536900 is a `hidden beast` number, since 1 + 0 + 6 + 30 + 0 + 1 + 2 + 536 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10630012536881) and next prime (10630012536919).

It can be written as a sum of positive squares in 4 ways, for example, as 2526516608004 + 8103495928896 = 1589502^2 + 2846664^2 .

It is a super-2 number, since 2×10630012536900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18681919816 + ... + 18681920384.

Almost surely, 2^{10630012536900} is an apocalyptic number.

10630012536900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10630012536900 is the 3260370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10630012536900

10630012536900 is an abundant number, since it is smaller than the sum of its proper divisors (22923499605523).

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

10630012536900 is an equidigital number, since it uses as much as digits as its factorization.

10630012536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 10630012536900 by its sum of digits (36), we get a square (382680451328400 = 19562220²).

10630012536900 divided by its sum of digits (36) gives a square (295278126025 = 543395²).

The spelling of 10630012536900 in words is "ten trillion, six hundred thirty billion, twelve million, five hundred thirty-six thousand, nine hundred".