145345022100 has 216 divisors, whose sum is σ = 476720654592. Its totient is φ = 36994060800.

The previous prime is 145345022089. The next prime is 145345022143. The reversal of 145345022100 is 1220543541.

145345022100 is a `hidden beast` number, since 1 + 4 + 53 + 4 + 502 + 2 + 100 = 666.

It is a super-2 number, since 2×145345022100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2001019 + ... + 2072381.

Almost surely, 2^145345022100 is an apocalyptic number.

145345022100 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 145345022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238360327296).

145345022100 is an abundant number, since it is smaller than the sum of its proper divisors (331375632492).

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

145345022100 is a wasteful number, since it uses less digits than its factorization.

145345022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71487 (or 71477 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 145345022100 its reverse (1220543541), we get a palindrome (146565565641).

The spelling of 145345022100 in words is "one hundred forty-five billion, three hundred forty-five million, twenty-two thousand, one hundred".