100834816 has 40 divisors (see below), whose sum is σ = 208004544. Its totient is φ = 48783360.

The previous prime is 100834813. The next prime is 100834831. The reversal of 100834816 is 618438001.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100834813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12696 + ... + 19048.

Almost surely, 2^100834816 is an apocalyptic number.

100834816 is a gapful number since it is divisible by the number (16) 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 100834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104002272).

100834816 is an abundant number, since it is smaller than the sum of its proper divisors (107169728).

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

100834816 is an frugal number, since it uses more digits than its factorization.

100834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 100834816 is about 10041.6540470183. The cubic root of 100834816 is about 465.4469299180.

The spelling of 100834816 in words is "one hundred million, eight hundred thirty-four thousand, eight hundred sixteen".