100462080 has 160 divisors (see below), whose sum is σ = 326836224. Its totient is φ = 26320896.

The previous prime is 100462079. The next prime is 100462081. The reversal of 100462080 is 80264001.

It is an interprime number because it is at equal distance from previous prime (100462079) and next prime (100462081).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100462081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790977 + ... + 791103.

Almost surely, 2^100462080 is an apocalyptic number.

100462080 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 100462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163418112).

100462080 is an abundant number, since it is smaller than the sum of its proper divisors (226374144).

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

100462080 is a wasteful number, since it uses less digits than its factorization.

100462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 100462080 is about 10023.0773717457. The cubic root of 100462080 is about 464.8727134551.

The spelling of 100462080 in words is "one hundred million, four hundred sixty-two thousand, eighty".