101403355260645 has 192 divisors, whose sum is σ = 184329031670784. Its totient is φ = 51528827289600.

The previous prime is 101403355260617. The next prime is 101403355260661. The reversal of 101403355260645 is 546062553304101.

It is a happy number.

101403355260645 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 3 + 35 + 5 + 2 + 606 + 4 + 5 = 666.

It is not a de Polignac number, because 101403355260645 - 2¹⁹ = 101403354736357 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 101403355260645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16620773095 + ... + 16620779195.

It is an arithmetic number, because the mean of its divisors is an integer number (960047039952).

Almost surely, 2^{101403355260645} is an apocalyptic number.

101403355260645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101403355260645 is a deficient number, since it is larger than the sum of its proper divisors (82925676410139).

101403355260645 is a wasteful number, since it uses less digits than its factorization.

101403355260645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7612 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 101403355260645 in words is "one hundred one trillion, four hundred three billion, three hundred fifty-five million, two hundred sixty thousand, six hundred forty-five".