103464345600000 has 3672 divisors, whose sum is σ = 483670184751936. Its totient is φ = 21499084800000.

The previous prime is 103464345599987. The next prime is 103464345600013. The reversal of 103464345600000 is 6543464301.

103464345600000 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 6 + 4 + 3 + 45 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103464345599987) and next prime (103464345600013).

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 215 ways as a sum of consecutive naturals, for example, 9405849599995 + ... + 9405849600005.

Almost surely, 2^{103464345600000} is an apocalyptic number.

103464345600000 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 103464345600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241835092375968).

103464345600000 is an abundant number, since it is smaller than the sum of its proper divisors (380205839151936).

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

103464345600000 is an frugal number, since it uses more digits than its factorization.

103464345600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 103464345600000 in words is "one hundred three trillion, four hundred sixty-four billion, three hundred forty-five million, six hundred thousand".