103006461120 has 56 divisors (see below), whose sum is σ = 327045517104. Its totient is φ = 27468389376.

The previous prime is 103006461067. The next prime is 103006461121. The reversal of 103006461120 is 21164600301.

It is a super-2 number, since 2×103006461120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103006461121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53648239 + ... + 53650158.

Almost surely, 2^103006461120 is an apocalyptic number.

103006461120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103006461120 is an abundant number, since it is smaller than the sum of its proper divisors (224039055984).

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

103006461120 is a wasteful number, since it uses less digits than its factorization.

103006461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107298417 (or 107298407 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 103006461120 in words is "one hundred three billion, six million, four hundred sixty-one thousand, one hundred twenty".