100867464 has 64 divisors (see below), whose sum is σ = 282470400. Its totient is φ = 33348672.

The previous prime is 100867463. The next prime is 100867469. The reversal of 100867464 is 464768001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100867463) 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, 25594 + ... + 29270.

It is an arithmetic number, because the mean of its divisors is an integer number (4413600).

Almost surely, 2^100867464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100867464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141235200).

100867464 is an abundant number, since it is smaller than the sum of its proper divisors (181602936).

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

100867464 is a wasteful number, since it uses less digits than its factorization.

100867464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 100867464 is about 10043.2795440533. The cubic root of 100867464 is about 465.4971581766.

The spelling of 100867464 in words is "one hundred million, eight hundred sixty-seven thousand, four hundred sixty-four".