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104106912 = 25371317701
BaseRepresentation
bin1100011010010…
…00101110100000
321020220011211120
412031020232200
5203122410122
614155212240
72402615460
oct615105640
9236804746
10104106912
1153847078
122aa47080
1318750c30
14db7dba0
15921675c
hex6348ba0

104106912 has 192 divisors, whose sum is σ = 356638464. Its totient is φ = 25804800.

The previous prime is 104106887. The next prime is 104106917. The reversal of 104106912 is 219601401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104106917) 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 31 ways as a sum of consecutive naturals, for example, 148162 + ... + 148862.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 2104106912 is an apocalyptic number.

104106912 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 104106912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

104106912 is an abundant number, since it is smaller than the sum of its proper divisors (252531552).

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

104106912 is a wasteful number, since it uses less digits than its factorization.

104106912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 104106912 is about 10203.2794727970. The cubic root of 104106912 is about 470.4280271606.

The spelling of 104106912 in words is "one hundred four million, one hundred six thousand, nine hundred twelve".