100462320 has 240 divisors, whose sum is σ = 398641152. Its totient is φ = 22187520.

The previous prime is 100462301. The next prime is 100462331. The reversal of 100462320 is 23264001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 100462293 and 100462302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155919 + ... + 156561.

Almost surely, 2^100462320 is an apocalyptic number.

100462320 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 100462320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199320576).

100462320 is an abundant number, since it is smaller than the sum of its proper divisors (298178832).

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

100462320 is a wasteful number, since it uses less digits than its factorization.

100462320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100462320 is about 10023.0893441094. The cubic root of 100462320 is about 464.8730836424.

The spelling of 100462320 in words is "one hundred million, four hundred sixty-two thousand, three hundred twenty".