103445145344352 has 96 divisors (see below), whose sum is σ = 317904593094144. Its totient is φ = 28834883712000.

The previous prime is 103445145344329. The next prime is 103445145344357. The reversal of 103445145344352 is 253443541544301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103445145344352² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103445145344357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1877243524 + ... + 1877298627.

It is an arithmetic number, because the mean of its divisors is an integer number (3311506178064).

Almost surely, 2^{103445145344352} is an apocalyptic number.

103445145344352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103445145344352 is an abundant number, since it is smaller than the sum of its proper divisors (214459447749792).

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

103445145344352 is a wasteful number, since it uses less digits than its factorization.

103445145344352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754542212 (or 3754542204 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

Adding to 103445145344352 its reverse (253443541544301), we get a palindrome (356888686888653).

The spelling of 103445145344352 in words is "one hundred three trillion, four hundred forty-five billion, one hundred forty-five million, three hundred forty-four thousand, three hundred fifty-two".