103256651294784 has 189 divisors, whose sum is σ = 320494326682023. Its totient is φ = 31770301814784.

The previous prime is 103256651294761. The next prime is 103256651294807. The reversal of 103256651294784 is 487492156652301.

It is a happy number.

The square root of 103256651294784 is 10161528.

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

103256651294784 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 566 + 5 + 1 + 29 + 47 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103256651294761) and next prime (103256651294807).

It can be written as a sum of positive squares in 4 ways, for example, as 6349795214400 + 96906856080384 = 2519880^2 + 9844128^2 .

It is a super-2 number, since 2×103256651294784² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3170380452 + ... + 3170413020.

It is a 1-persistent number, because it is pandigital, but 2⋅103256651294784 = 206513302589568 is not.

Almost surely, 2^{103256651294784} is an apocalyptic number.

103256651294784 is the 10161528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103256651294784

103256651294784 is an abundant number, since it is smaller than the sum of its proper divisors (217237675387239).

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

103256651294784 is an frugal number, since it uses more digits than its factorization.

103256651294784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65182 (or 32587 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 103256651294784 in words is "one hundred three trillion, two hundred fifty-six billion, six hundred fifty-one million, two hundred ninety-four thousand, seven hundred eighty-four".