100761408 has 336 divisors, whose sum is σ = 355031040. Its totient is φ = 27993600.

The previous prime is 100761403. The next prime is 100761449. The reversal of 100761408 is 804167001.

It is a happy number.

It is a super-2 number, since 2×100761408² = 20305722684284928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100761403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3250353 + ... + 3250383.

It is an arithmetic number, because the mean of its divisors is an integer number (1056640).

Almost surely, 2^100761408 is an apocalyptic number.

100761408 is a gapful number since it is divisible by the number (18) 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 100761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

100761408 is an abundant number, since it is smaller than the sum of its proper divisors (254269632).

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

100761408 is a wasteful number, since it uses less digits than its factorization.

100761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100761408 is about 10037.9982068139. The cubic root of 100761408 is about 465.3339536522. Note that the first 3 decimals are identical.

The spelling of 100761408 in words is "one hundred million, seven hundred sixty-one thousand, four hundred eight".