103351463040 has 256 divisors, whose sum is σ = 379954080000. Its totient is φ = 23406133248.

The previous prime is 103351463029. The next prime is 103351463041. The reversal of 103351463040 is 40364153301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103351462989 and 103351463007.

It is not an unprimeable number, because it can be changed into a prime (103351463041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429686 + ... + 1500234.

It is an arithmetic number, because the mean of its divisors is an integer number (1484195625).

Almost surely, 2^103351463040 is an apocalyptic number.

103351463040 is a gapful number since it is divisible by the number (10) 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 103351463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189977040000).

103351463040 is an abundant number, since it is smaller than the sum of its proper divisors (276602616960).

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

103351463040 is a wasteful number, since it uses less digits than its factorization.

103351463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70687 (or 70675 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 103351463040 in words is "one hundred three billion, three hundred fifty-one million, four hundred sixty-three thousand, forty".