145610100 has 216 divisors, whose sum is σ = 500467968. Its totient is φ = 35251200.

The previous prime is 145610099. The next prime is 145610119. The reversal of 145610100 is 1016541.

145610100 is a `hidden beast` number, since 1 + 4 + 561 + 0 + 100 = 666.

145610100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 474147 + ... + 474453.

Almost surely, 2^145610100 is an apocalyptic number.

145610100 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 145610100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250233984).

145610100 is an abundant number, since it is smaller than the sum of its proper divisors (354857868).

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

145610100 is a wasteful number, since it uses less digits than its factorization.

145610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 145610100 is about 12066.9010106158. The cubic root of 145610100 is about 526.0945870275.

Adding to 145610100 its reverse (1016541), we get a palindrome (146626641).

The spelling of 145610100 in words is "one hundred forty-five million, six hundred ten thousand, one hundred".