145325022100 has 72 divisors (see below), whose sum is σ = 324727216128. Its totient is φ = 56410704000.

The previous prime is 145325022091. The next prime is 145325022103. The reversal of 145325022100 is 1220523541.

145325022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145325022100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145325022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1365825 + ... + 1468375.

It is an arithmetic number, because the mean of its divisors is an integer number (4510100224).

Almost surely, 2^145325022100 is an apocalyptic number.

145325022100 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 145325022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162363608064).

145325022100 is an abundant number, since it is smaller than the sum of its proper divisors (179402194028).

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

145325022100 is a wasteful number, since it uses less digits than its factorization.

145325022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102985 (or 102978 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 145325022100 its reverse (1220523541), we get a palindrome (146545545641).

The spelling of 145325022100 in words is "one hundred forty-five billion, three hundred twenty-five million, twenty-two thousand, one hundred".