100769472 has 168 divisors, whose sum is σ = 314535312. Its totient is φ = 30720000.

The previous prime is 100769467. The next prime is 100769479. The reversal of 100769472 is 274967001.

It is a happy number.

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 (100769479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401347 + ... + 401597.

It is an arithmetic number, because the mean of its divisors is an integer number (1872234).

Almost surely, 2^100769472 is an apocalyptic number.

100769472 is a gapful number since it is divisible by the number (12) 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 100769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157267656).

100769472 is an abundant number, since it is smaller than the sum of its proper divisors (213765840).

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

100769472 is a wasteful number, since it uses less digits than its factorization.

100769472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 100769472 is about 10038.3998724896. The cubic root of 100769472 is about 465.3463669791.

The spelling of 100769472 in words is "one hundred million, seven hundred sixty-nine thousand, four hundred seventy-two".