100603146306465 has 64 divisors (see below), whose sum is σ = 195132469651200. Its totient is φ = 48771448704000.

The previous prime is 100603146306451. The next prime is 100603146306479. The reversal of 100603146306465 is 564603641306001.

100603146306465 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 3 + 1 + 4 + 630 + 6 + 4 + 6 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (100603146306451) and next prime (100603146306479).

It is not a de Polignac number, because 100603146306465 - 2¹³ = 100603146298273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 100603146306465.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8380515 + ... + 16475415.

It is an arithmetic number, because the mean of its divisors is an integer number (3048944838300).

Almost surely, 2^{100603146306465} is an apocalyptic number.

100603146306465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100603146306465 is a deficient number, since it is larger than the sum of its proper divisors (94529323344735).

100603146306465 is a wasteful number, since it uses less digits than its factorization.

100603146306465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8103295 (or 8103289 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 100603146306465 in words is "one hundred trillion, six hundred three billion, one hundred forty-six million, three hundred six thousand, four hundred sixty-five".