100147320 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 21109248.

The previous prime is 100147291. The next prime is 100147337. The reversal of 100147320 is 23741001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100147293 and 100147302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97771 + ... + 98789.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^100147320 is an apocalyptic number.

100147320 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 100147320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

100147320 is an abundant number, since it is smaller than the sum of its proper divisors (311116680).

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

100147320 is a wasteful number, since it uses less digits than its factorization.

100147320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100147320 is about 10007.3632890987. The cubic root of 100147320 is about 464.3867044782.

Adding to 100147320 its reverse (23741001), we get a palindrome (123888321).

The spelling of 100147320 in words is "one hundred million, one hundred forty-seven thousand, three hundred twenty".