103062256272 has 240 divisors, whose sum is σ = 311866134528. Its totient is φ = 31679112960.

The previous prime is 103062256201. The next prime is 103062256307. The reversal of 103062256272 is 272652260301.

103062256272 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 2 + 25 + 627 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29054403 + ... + 29057949.

Almost surely, 2^103062256272 is an apocalyptic number.

103062256272 is a gapful number since it is divisible by the number (12) 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 103062256272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155933067264).

103062256272 is an abundant number, since it is smaller than the sum of its proper divisors (208803878256).

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

103062256272 is a wasteful number, since it uses less digits than its factorization.

103062256272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 103062256272 in words is "one hundred three billion, sixty-two million, two hundred fifty-six thousand, two hundred seventy-two".